Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
From MaRDI portal
Publication:3932492
DOI10.1002/cpa.3160340405zbMath0476.76068OpenAlexW2081476622MaRDI QIDQ3932492
Andrew J. Majda, Sergiu Klainerman
Publication date: 1981
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.3160340405
singular limitslimiting behaviorquasilinear hyperbolic systemsincompressible limitsconstructive local existence theoremstime-singular limit equations
Navier-Stokes equations (35Q30) First-order nonlinear hyperbolic equations (35L60) Magnetohydrodynamics and electrohydrodynamics (76W05) Cauchy-Kovalevskaya theorems (35A10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items
Near-resonance approximation of rotating Navier–Stokes equations, Motion of slightly compressible fluids in a bounded domain, II, Incompressible limit of nonisentropic Hookean elastodynamics, Vanishing flux perturbation, pressure, and magnetic field limit in a Chaplygin magnetogasdynamics, Effective field theory and classical equations of motion, Zero-Mach limit of the compressible Navier–Stokes–Korteweg equations, Incompressible limit of isentropic magnetohydrodynamic equations with ill-prepared data in bounded domains, The limit behavior of Riemann solutions to the Euler equations of compressible fluid flow for the modified Chaplygin gas, Low Mach Number Limit and Far Field Convergence Rates of Irrotational Flows in Multidimensional Nozzles with an Obstacle Inside, Asymptotic-preserving schemes for multiscale physical problems, The mathematical theory of low Mach number flows, Calculation of low Mach number acoustics: a comparison of MPV, EIF and linearized Euler equations, Global Quasi-Neutral Limit for a Two-Fluid Euler–Poisson System in Several Space Dimensions, Theoretical and computational analysis of the thermal quasi-geostrophic model, An all Mach number finite volume method for isentropic two-phase flow, On the global-in-time inviscid limit of the 3D degenerate compressible Navier-Stokes equations, An asymptotic preserving scheme on staggered grids for the barotropic Euler system in low Mach regimes, Implicit Relaxed All Mach Number Schemes for Gases and Compressible Materials, Hyperbolic–parabolic normal form and local classical solutions for cross-diffusion systems with incomplete diffusion, Global convergence in non-relativistic limits for Euler-Maxwell system near non-constant equilibrium, Incompressible limit of the Ericksen-Leslie parabolic-hyperbolic liquid crystal model, Incompressible Limit of Ideal Magnetohydrodynamic Equations with a Perfectly Conducting Wall Condition, Theoretical analysis and numerical approximation for the stochastic thermal quasi-geostrophic model, A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations, Parallel three-dimensional simulations of quasi-static elastoplastic solids, All-speed numerical methods for the Euler equations via a sequential explicit time integration, The low Mach number limit for isentropic compressible Navier-Stokes equations with a revised Maxwell's law, Measure-Valued Low Mach Number Limits of Ideal Fluids, Reduction methods in climate dynamics -- a brief review, A survey on some vanishing viscosity limit results, The incompressible limit of the isentropic fluids in the analytic spaces, Higher-order error estimates for physics-informed neural networks approximating the primitive equations, Incompressible limit for the free surface Navier-Stokes system, The asymptotic stability of phase separation states for compressible immiscible two-phase flow in 3D, The low Mach number limit of non-isentropic magnetohydrodynamic equations with large temperature variations in bounded domains, Low Mach number limit of solutions to the stochastic compressible magnetohydrodynamic equations, The Asymptotic Analysis of the Complete Fluid System on a Varying Domain: From the Compressible to the Incompressible Flow, Vanishing shear viscosity limit and incompressible limit of two dimensional compressible dissipative elastodynamics, On an application of Phragmén-Lindelöf method to singular fractional-order problem, Stability near equilibrium to the full compressible magnetohydrodynamic equations, Asymptotics for singular limits via phase functions, Study of a New Asymptotic Preserving Scheme for the Euler System in the Low Mach Number Limit, Behavior of the Discontinuous Galerkin Method for Compressible Flows at Low Mach Number on Triangles and Tetrahedrons, Low Mach number limit for the degenerate Navier-Stokes equations in presence of strong stratification, Low Mach number limit of the compressible Navier-Stokes-Cattaneo equations with general initial data, An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous two-phase flows with surface tension, Convergence of the relaxed compressible Navier-Stokes equations to the incompressible Navier-Stokes equations, An implementation of Hasselmann’s paradigm for stochastic climate modelling based on stochastic Lie transport *, Blowups and Longtime Developments with Near-Boundary Mass Accretions of Irregularly Shaped Euler–Poisson Dominated Molecular Clouds in Astrophysics, Zero-relaxation limits of the non-isentropic Euler-Maxwell system for well/ill-prepared initial data, Low Mach number limit of nonisentropic inviscid Hookean elastodynamics, Singular limit of planar magnetohydrodynamic equations with vacuum free boundary, An implicit-explicit solver for a two-fluid single-temperature model, Global non-relativistic quasi-neutral limit for a two-fluid Euler-Maxwell system, An explicitness-preserving IMEX-split multiderivative method, \(W\)-entropy and Langevin deformation on Wasserstein space over Riemannian manifolds, Hybrid Aeroacoustic Computations: State of Art and New Achievements, Relaxation-time limits of global solutions in full quantum hydrodynamic model for semiconductors., Convergence of the three-dimensional compressible Navier-Stokes-Poisson-Korteweg equation to the incompressible Euler equation, Multiple pressure variables methods for fluid flow at all Mach numbers, The Incompressible Limits of Viscous Polytropic Fluids with Zero Thermal Conductivity Coefficient, Low Froude number limit of the rotating shallow water and Euler equations, Incompressible, inviscid limit of the compressible Navier-Stokes system, Incompressible Limit of the Nonisentropic Ideal Magnetohydrodynamic Equations, Convergence of the complete electromagnetic fluid system to the full compressible magnetohydrodynamic equations, Weakly compressible high-order \(I\)-stable central difference schemes for incompressible viscous flows, On the semiclassical limit of the general modified NLS equation, The equations of nearly incompressible fluids. I. Hydrodynamics, turbulence, and waves, Fast Wave Averaging for the Equatorial Shallow Water Equations, Analysis of the adiabatic limit for solitons in classical field theory, The compressible to incompressible limit of one dimensional Euler equations: the non smooth case, Anelastic Approximation as a Singular Limit of the Compressible Navier–Stokes System, Convergence of Compressible Euler–Maxwell Equations to Incompressible Euler Equations, The Convergence of the Navier–Stokes–Poisson System to the Incompressible Euler Equations, Uniformly Global Smooth Solutions and Convergence of Euler--Poisson Systems with Small Parameters, Low Mach number limit of some staggered schemes for compressible barotropic flows, The global future stability of the FLRW solutions to the Dust-Einstein system with a positive cosmological constant, Toward uniform existence and convergence theorems for three-scale systems of hyperbolic PDEs with general initial data, A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers, Uniform regularity for the compressible Navier-Stokes system with low Mach number in domains with boundaries, Truly multi-dimensional all-speed schemes for the Euler equations on Cartesian grids, A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows, A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics, An asymptotic preserving well-balanced scheme for the isothermal fluid equations in low-temperature plasmas at low-pressure, Zero Mach number limit of the compressible Euler-Korteweg equations, Low Mach number limit for the compressible Navier-Stokes equations with density-dependent viscosity and vorticity-slip boundary condition, Incompressible limit of Euler equations with damping, The zero-energy limit and quasi-neutral limit of scaled Euler-Maxwell system and its corresponding limiting models, Fully compressible multiphase model for computation of compressible fluid flows with large density ratio and the presence of shock waves, On the existence theorem for the barotropic motion of a compressible inviscid fluid in the half-space, Existence of a unique solution to an elliptic partial differential equation when the average value is known, Semilinear boundary layers, Vanishing capillarity limit of the compressible non-isentropic Navier-Stokes-Korteweg system to Navier-Stokes system, Local well-posedness and incompressible limit of the free-boundary problem in compressible elastodynamics, On the Boyd-Kadomstev system for a three-wave coupling problem and its asymptotic limit, High order all-speed semi-implicit weighted compact nonlinear scheme for the isentropic Navier-Stokes equations, Remarks on the equatorial shallow water system, Low Mach number limit for the full compressible magnetohydrodynamic equations without thermal conductivity, The global combined quasi-neutral and zero-electron-mass limit of non-isentropic Euler-Poisson systems, On the deformations of the incompressible Euler equations, Low Mach number limit of a compressible non-isothermal nematic liquid crystals model, Rigorous derivation of the anelastic approximation, Incompressible limit of three dimensional compressible viscoelastic systems with vanishing shear viscosity, Mach limits in analytic spaces on exterior domains, Stability of a Cartesian grid projection method for zero Froude number shallow water flows, Incompressible limit for the full magnetohydrodynamics flows under strong stratification on unbounded domains, TVD-MOOD schemes based on implicit-explicit time integration, Steady low Mach number flows: identification of the spurious mode and filtering method, Derivation of limit equations for a singular perturbation of a 3D periodic Boussinesq system, Low Mach number limit of inviscid Hookean elastodynamics, The soundproof model of an acoustic-internal waves system with low stratification, Singular limit for rotating compressible fluids with centrifugal force in a finite cylinder, Diffusive wave in the low Mach limit for compressible Navier-Stokes equations, Low Mach number limit of the full compressible Hall-magnetohydrodynamic equation with general initial data, Low regularity global solutions for a generalized MHD-\(\alpha\) system, High order semi-implicit weighted compact nonlinear scheme for the full compressible Euler system at all Mach numbers, On the incompressible limit for the compressible free-boundary Euler equations with surface tension in the case of a liquid, High order well-balanced asymptotic preserving finite difference WENO schemes for the shallow water equations in all Froude numbers, An all Mach number relaxation upwind scheme, Formation of \(\delta\)-shock waves in isentropic fluids, Incompressible inviscid limit of the viscous two-fluid model with general initial data, Zero Mach number limit of the compressible primitive equations: well-prepared initial data, A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations, Low Mach number limit of a compressible Euler-Korteweg model., The combined non-equilibrium diffusion and low Mach number limits of a model arising in radiation magnetohydrodynamics, Global well posedness for the thermally radiative magnetohydrodynamic equations in 3D, On a singular limit for the compressible rotating Euler system, Zero Mach number limit of the compressible primitive equations: Ill-prepared initial data, Vanishing viscosity limit of the three-dimensional barotropic compressible Navier-Stokes equations with degenerate viscosities and far-field vacuum, Well-posedness of a kind of the free surface equation of shallow water waves, Global existence for slightly compressible hydrodynamic flow of liquid crystals in two dimensions, Stability, well-posedness and blow-up criterion for the incompressible slice model, The limits of Riemann solutions to Euler equations of compressible fluid flow with a source term, Low Mach number limit of non-isentropic magnetohydrodynamic equations in a bounded domain, A high order semi-implicit IMEX WENO scheme for the all-Mach isentropic Euler system, Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data, Linearly implicit all Mach number shock capturing schemes for the Euler equations, Initial investigations of precipitating quasi-geostrophic turbulence with phase changes, An asymptotic preserving semi-implicit multiderivative solver, Low Mach number limit for the compressible inertial Qian-Sheng model of liquid crystals: convergence for classical solutions, Two-scale numerical simulation of the weakly compressible 1D isentropic Euler equations, Nonexistence of self-similar singularities in the viscous magnetohydrodynamics with zero resistivity, A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes, Simulation of non-Newtonian viscoplastic flows with a unified first order hyperbolic model and a structure-preserving semi-implicit scheme, Analysis of an asymptotic preserving low Mach number accurate IMEX-RK scheme for the wave equation system, An asymptotic limit of a Navier-Stokes system with capillary effects, Vanishing viscosity for non-homogeneous asymmetric fluids in \(\mathbb R^3\): the \(L^2\) case, Uniform local well-posedness to the density-dependent Navier-Stokes-Maxwell system, Incompressible limit for the compressible flow of liquid crystals, Fast averaging for long- and short-wave scaled equatorial shallow water equations with Coriolis parameter deviating from linearity, Low Mach number limit of the full Navier-Stokes equations, A unique solution to a nonlinear elliptic equation, Asymptotic limits of the isentropic compressible viscous magnetohydrodynamic equations with Navier-slip boundary conditions, Concentration and cavitation in the vanishing pressure limit of solutions to the generalized Chaplygin Euler equations of compressible fluid flow, Low Froude and Rossby number three-scale singular limits of the rotating stratified Boussinesq equations, Derivation of geostrophic equations as a rigorous limit of compressible rotating and heat conducting fluids with the general initial data, The stabilizing effect of spacetime expansion on relativistic fluids with sharp results for the radiation equation of state, Asymptotic behavior of global smooth solutions for full compressible Navier-Stokes-Maxwell equations, Balanced and unbalanced components of moist atmospheric flows with phase changes, Low Mach number limit of the three-dimensional full compressible Navier-Stokes-Korteweg equations, Homogenization and corrector result for a coupled parabolic hyperbolic system, The Newtonian limit on cosmological scales, Asymptotic preserving low Mach number accurate IMEX finite volume schemes for the isentropic Euler equations, Convergence to equilibrium for the solution of the full compressible Navier-Stokes equations, Accurate steam-water equation of state for two-phase flow LMNC model with phase transition, A regularity-aware algorithm for variational data assimilation of an idealized coupled atmosphere-ocean model, Low Mach number limit for the full compressible Navier-Stokes equations with Cattaneo's heat transfer law, A low Mach correction able to deal with low Mach acoustics, Incompressible limit of the compressible nematic liquid crystal flows in a bounded domain with perfectly conducting boundary, Existence of global entropy solutions of a nonstrictly hyperbolic system, Stability of preconditioned finite volume schemes at low Mach numbers, On the 2D isentropic Euler system with unbounded initial vorticity, On the singularity problem for the Euler equations, Zero dielectric constant limit of the full magnet-hydro-dynamics system, Singular limit for the compressible Navier-Stokes equations with the hard sphere pressure law on expanding domains, Multiple scales and singular limits of perfect fluids, Classical solutions for the 3D quasi-geostrophic system on a bounded domain, A new stable splitting for the isentropic Euler equations, Viscous approach of discontinuous solutions of semilinear symmetric hyperbolic systems, Mathematical analysis of fluids in motion: from well-posedness to model reduction, Asymptotic decay of bipolar isentropic/non-isentropic compressible Navier-Stokes-Maxwell systems, Incompressible limit for the compressible flows of nematic liquid crystals in the whole space, A coupling between a 1D compressible-incompressible limit and the 1D \(p\)-system in the non smooth case, Zero Mach number limit of the compressible Hall-magnetohydrodynamic equations, Singular limits of the Cauchy problem to the two-layer rotating shallow water equations, A new stable splitting for singularly perturbed ODEs, The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit, Parabolic limit with differential constraints of first-order quasilinear hyperbolic systems, Modeling the coastal ocean over a time period of several weeks, Incompressible limit of solutions of multidimensional steady compressible Euler equations, Uniform global existence and convergence of Euler-Maxwell systems with small parameters, Incompressible limit for compressible fluids with stochastic forcing, Liquid and liquid-gas flows at all speeds, Global existence of classical solutions for some Oldroyd-B model via the incompressible limit, Inviscid incompressible limits of the full Navier-Stokes-Fourier system, Singular limits of the equations of magnetohydrodynamics, On the incompressible limit for the compressible flows of liquid crystals under strong stratification on bounded domains, Approximation of a compressible Euler-Poisson equations by a non-isentropic Euler-Maxwell equations, Dissipative solutions and the incompressible inviscid limits of the compressible magnetohydrodynamic system in unbounded domains, An asymptotic-preserving all-speed scheme for the Euler and Navier-Stokes equations, Convergence results for MHD system, Global existence and the low Mach number limit for the compressible magnetohydrodynamic equations in a bounded domain with perfectly conducting boundary, Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature, A product property of Sobolev spaces with application to elliptic estimates, Incompressible limit of global strong solutions to 3-D barotropic Navier-Stokes equations with well-prepared initial data and Navier's slip boundary conditions, Vanishing electron mass limit in the bipolar Euler-Poisson system, The propagation of shock waves in incompressible fluids: the case of freshwater, Vanishing capillarity-viscosity limit for the incompressible inhomogeneous fluid models of Korteweg type, Convergence of a singular Euler-Maxwell approximation of the incompressible Euler equations, Incompressible limits and propagation of acoustic waves in large domains with boundaries, The combined non-relativistic and quasi-neutral limit of two-fluid Euler-Maxwell equations, Asymptotic stability of constant steady states for a \(2\times 2\) reaction-diffusion system arising in cancer modelling, Preconditioned methods for simulations of low speed compressible flows, Low Mach number limit of viscous polytropic fluid flows, On the incompressible limits for the full magnetohydrodynamics flows, The relaxation-time limit in the compressible Euler-Maxwell equations, Incompressible limit for the full magnetohydrodynamics flows under strong stratification, The nonlinear future stability of the FLRW family of solutions to the Euler-Einstein system with a positive cosmological constant, A simple two-phase method for the simulation of complex free surface flows, On the rigid-lid approximation for two shallow layers of immiscible fluids with small density contrast, Initial layers and zero-relaxation limits of Euler-Maxwell equations, Convergence of compressible Euler-Maxwell equations to compressible Euler-Poisson equations, Global solutions for incompressible viscoelastic fluids, An asymptotic preserving method for linear systems of balance laws based on Galerkin's method, Stability of non-constant equilibrium solutions for Euler-Maxwell equations, Adiabatic limit of the Zakharov-Rubenchik equation, Scale interactions in compressible rotating fluids, Convergence of the Euler-Maxwell two-fluid system to compressible Euler equations, Inviscid incompressible limits under mild stratification: a rigorous derivation of the Euler-Boussinesq system, KDV limit of the hydromagnetic waves in cold plasma, On the motion of a compressible gravity water wave with vorticity, A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state, From the dynamics of gaseous stars to the incompressible Euler equations, Asymptotic and numerical analysis of an inviscid bounded vortex flow at low Mach number, The global regularity for the 3D continuously stratified inviscid quasi-geostrophic equations, Layered incompressible fluid flow equations in the limit of low Mach number and strong stratification, Flux splitting for stiff equations: a notion on stability, Homogenization of Hamiltonian systems with a strong constraining potential, The low Mach number limit for the full Navier-Stokes-Fourier system, Stability of periodic steady-state solutions to a non-isentropic Euler-Poisson system, Global quasi-neutral limit of Euler-Maxwell systems with velocity dissipation, Stability of non-constant steady-state solutions for bipolar non-isentropic Euler-Maxwell equations with damping terms, Global smooth flows for compressible Navier-Stokes-Maxwell equations, Global well-posedness and large time behavior of classical solutions to the diffusion approximation model in radiation hydrodynamics, The diffusive relaxation limit of non-isentropic Euler-Maxwell equations for plasmas, Existence of a unique solution to a quasilinear elliptic equation, The zero-electron-mass limit in the hydrodynamic model for plasmas, Rigorous derivation of incompressible type Euler equations from non-isentropic Euler-Maxwell equations, Global existence and long-time behavior of smooth solutions of two-fluid Euler-Maxwell equations, Multi-scale analysis of compressible viscous and rotating fluids, Uniform regularity for the Navier-Stokes equation with Navier boundary condition, Convergence of compressible Euler-Poisson system to incompressible Euler equations, Mathematical models of incompressible fluids as singular limits of complete fluid systems, Nonexistence of compressible irrotational inviscid flows along infinite protruding corners, Multiscale analysis in the compressible rotating and heat conducting fluids, Three-scale singular limits of evolutionary PDEs, Newtonian limits of isolated cosmological systems on long time scales, Coupling the shallow water equation with a long term dynamics of sand dunes, Nonexistence of low-Mach irrotational inviscid flows around polygons, Global well-posedness and large time behavior of classical solutions to the Vlasov-Fokker-Planck and magnetohydrodynamics equations, A review on some contributions to perturbation theory, singular limits and well-posedness, Uniform local existence for inhomogeneous rotating fluid equations, Existence of global weak solutions to a special system of Euler equation with a source. II: General case, Low Mach number limit for the non-isentropic Navier-Stokes equations, The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general initial data, On the a priori estimates for the Euler, the Navier-Stokes and the quasi-geostrophic equations, Analysis of artificial pressure equations in numerical simulations of a turbulent channel flow, Incompressible limits of the Navier-Stokes equations for all time, Conservative finite-volume framework and pressure-based algorithm for flows of incompressible, ideal-gas and real-gas fluids at all speeds, Dissipation-induced instability phenomena in infinite-dimensional systems, Quasineutral limit for the compressible two-fluid Euler-Maxwell equations for well-prepared initial data, Current progress and prospects in numerical techniques for weather prediction models, The quasi-stationary Maxwell equations as singular limit of the complete equations: The quasi-linear case, Remarks on the breakdown of smooth solutions for the 3-D Euler equations, Compressible flow induced by the transient motion of a wavemaker, From the highly compressible Navier-Stokes equations to the porous medium equation -- rate of convergence, Remarks on a paper by J. T. Beale, T. Kato, and A. Majda (Remarks on the breakdown of smooth solutions for the 3-dimensional Euler equations), A coupling between a non-linear 1D compressible-incompressible limit and the 1D \(p\)-system in the non smooth case, On the singular limit for slightly compressible fluids, Cosmological Newtonian limits on large spacetime scales, An efficient algorithm for the multicomponent compressible Navier-Stokes equations in low- and high-Mach number regimes, Efficient high-order discontinuous Galerkin computations of low Mach number flows, A semi-implicit multiscale scheme for shallow water flows at low Froude number, An \(L^ p\)-theory for the \(n\)-dimensional, stationary, compressible Navier-Stokes equations, and the incompressible limit for compressible fluids. The equilibrium solutions, Stability of non-constant equilibrium solutions for bipolar full compressible Navier-Stokes-Maxwell systems, Potential singularity for a family of models of the axisymmetric incompressible flow, All Mach number second order semi-implicit scheme for the Euler equations of gas dynamics, Singular limits in bounded domains for quasilinear symmetric hyperbolic systems having a vorticity equation, Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition, The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence, Asymptotic error analysis of an IMEX Runge-Kutta method, The asymptotic behavior of globally smooth solutions of non-isentropic Euler-Maxwell equations for plasmas, Existence and uniqueness for viscous steady compressible motions, Investigations of a compressible second order finite volume code towards the incompressible limit, Low- and zero-Mach-number models for Rayleigh-Taylor flows, Convergence of the viscosity solutions for the system of nonlinear elasticity, Viscous perturbations of hyperbolic mixed problems and boundary layers, The initial-boundary value problem for the non-barotropic compressible Euler equations: Structural-stability and data dependence, The incompressible limit in nonlinear elasticity, An existence theorem for the Dirichlet problem in the elastodynamics of incompressible materials, Oscillatory perturbations of the Navier-Stokes equations, On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system, Local well-posedness for the Zakharov system on the background of a line soliton, On the stationary, compressible and incompressible Navier-Stokes equation, Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation, Singular limits in fluid dynamics, The application of spectral methods in simulating compressible fluid and magnetofluid turbulence, A numerical scheme for the compressible low-Mach number regime of ideal fluid dynamics, Incompressible limit for a viscous compressible fluid, Dispersive effects of weakly compressible and fast rotating inviscid fluids, Boundary layers for parabolic regularizations of totally characteristic quasilinear parabolic equations, Asymptotic properties of linearized equations of low compressible fluid motion, Existence of martingale solutions and the incompressible limit for stochastic compressible flows on the whole space, Asymptotic preserving IMEX finite volume schemes for low Mach number Euler equations with gravitation, A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers, Uniqueness of the 1D compressible to incompressible limit, Approximation of the incompressible convective Brinkman-Forchheimer equations, Stability of periodic steady-state solutions to a non-isentropic Euler-Maxwell system, Subsonic irrotational inviscid flow around certain bodies with two protruding corners, On the Müller paradox for thermal-incompressible media, The incompressible limit of solutions of the two-dimensional compressible Euler system with degenerating initial data., Diffusive wave in the low Mach limit for non-viscous and heat-conductive gas, On a quasi-neutral approximation of the incompressible Navier-Stokes equations, Global in time classical solutions to the 3D quasi-geostrophic system for large initial data, Local smooth solution and non-relativistic limit of radiation hydrodynamics equations, Local wellposedness of nonlinear Maxwell equations with perfectly conducting boundary conditions, The incompressible limit of compressible fluid motions in a bounded domain, Local in time existence for the complete Maxwell equations with monotone characteristic in a bounded domain, Asymptotic study of rapidly rotating anisotropic fluids in the periodic case, Small Alfvén number limit of the plane magnetohydrodynamic flows, Uniform global convergence of non-isentropic Euler-Maxwell systems with dissipation, The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels, Mathematical theory of fluids in motion, The low Mach number limit for the compressible flow of liquid crystals, Initial layer problem of the Boussinesq system for Rayleigh-Bénard convection with infinite Prandtl number limit, Strongly stratified limit for the 3D inviscid Boussinesq equations, A low-Mach correction for multi-dimensional finite volume shock capturing schemes with application in Lagrangian frame, Low Mach number limit of multidimensional steady flows on the airfoil problem, Stability of steady-state solutions to Navier-Stokes-Poisson systems, Flow of heat conducting fluid in a time-dependent domain, Stability of non-constant equilibrium solutions for the full compressible Navier-Stokes-Maxwell system, Data dependence in the mathematical theory of compressible inviscid fluids, Second-order implicit-explicit total variation diminishing schemes for the Euler system in the low Mach regime, Small Alfvén number limit for incompressible magneto-hydrodynamics in a domain with boundaries, Zero dielectric constant limit to the non-isentropic compressible Euler-Maxwell system, Low Mach number limit of the full compressible Navier-Stokes-Maxwell system, On the free surface motion of highly subsonic heat-conducting inviscid flows, Fast-wave averaging with phase changes: asymptotics and application to moist atmospheric dynamics, An incompressible polymer fluid interacting with a Koiter shell, Stability of non-constant equilibrium solutions for compressible viscous and diffusive MHD equations with the Coulomb force, Asymptotic limit of compressible Hall-magnetohydrodynamic model with quantum effects, The existence, uniqueness and exponential decay of global solutions in the full quantum hydrodynamic equations for semiconductors, The global convergence of non-isentropic Euler-Maxwell equations via infinity-ion-mass limit, Incompressible limit of the Hookean elastodynamics in a bounded domain, Gevrey regularity for the Vlasov-Poisson system, Low Mach and thin domain limit for the compressible Euler system, Mach limits in analytic spaces, Singular limits in compressible fluid dynamics, Low Mach number limit of the non-isentropic ideal magnetohydrodynamic equations, Existence of the entropy solution for a viscoelastic model, On the stability of the solutions to the compressible Navier-Stokes equations when the Mach number goes to zero, Convergence to steady-states of compressible Navier-Stokes-Maxwell equations, Low Mach number limit of full compressible Navier-Stokes equations with revised Maxwell law, On the continuous limit for a system of classical spins, Asymptotic of the solutions of hyperbolic equations with a skew-symmetric perturbation, Low Mach number limit of the compressible Euler-Cattaneo-Maxwell equations, Applications of Schochet's methods to parabolic equations, Asymptotics for symmetric hyperbolic systems with a large parameter, A unified asymptotic preserving and well-balanced scheme for the Euler system with multiscale relaxation, A unified method for computing incompressible and compressible flows in boundary-fitted coordinates, Sobolev estimates for non-uniformly parabolic PDEs, Lipschitz continuity of solutions to drift-diffusion equations in the presence of nonlocal terms, Convergence rates of solutions to the compressible Hookean elastodynamics, Convergence rate of fully compressible Navier-Stokes equations in three-dimensional bounded domains, On the blow-up of solutions of the 3-D Euler equations in a bounded domain, Singular limits of stiff relaxation and dominant diffusion for nonlinear systems, Averaging theorems for conservative systems and the weakly compressible Euler equations, The behaviour of solutions of NLS equation of derivative type in the semiclassical limit, Global existence of small solutions to a class of nonlinear evolution equations, Quasineutral Limit of Euler–Poisson System with and without Viscosity, Low Rossby limiting dynamics for stably stratified flow with finite Froude number, SEMICLASSICAL LIMIT OF THE DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION, An asymptotic analysis of two-phase fluid mixing, SINGULAR CONVERGENCE TO NONLINEAR DIFFUSION WAVES FOR SOLUTIONS TO THE CAUCHY PROBLEM FOR THE COMPRESSIBLE EULER EQUATIONS WITH DAMPING, Manifold Learning and Nonlinear Homogenization, Initial boundary value problem for 2D Boussinesq equations with temperature-dependent diffusion, Exact solution and the multidimensional Godunov scheme for the acoustic equations, On two dimensional incompressible fluids, Low Mach number two-dimensional hydrodynamic turbulence: Energy budgets and density fluctuations in a polytropic fluid, Density variations in weakly compressible flows, High Order Semi-implicit WENO Schemes for All-Mach Full Euler System of Gas Dynamics, Incompressible hydrodynamics as a limit of the Boltzmann equation, A Posteriori Modeling Error Estimates for the Assumption of Perfect Incompressibility in the Navier--Stokes Equation, Asymptotic derivation and simulations of a non-local Exner model in large viscosity regime, Nonrelativistic Limit of the Compressible Navier--Stokes--Fourier--P1 Approximation Model Arising in Radiation Hydrodynamics, On a linear non-elliptic system concerning the dynamic of stationary motions, Incompressible Limit of Isentropic Navier--Stokes Equations with Ill-Prepared Data in Bounded Domains, On the reactive and non-diffusive equations for zero mach number flow, Global existence and asymptotic decay of solutions to the non-isentropic Euler–Maxwell system, Singular limit of the nonisentropic compressible ideal MHD equations in a domain with boundary, Convergence of the viscosity method for some nonlinear hyperbolic systems, Strong solutions to an Oldroyd-B model with slip boundary conditions via incompressible limit, Unnamed Item, Stability of non-constant equilibrium solutions for two-fluid non-isentropic Euler-Maxwell systems arising in plasmas, Well-posedness of a model of nonhomogeneous compressible–incompressible fluids, Scattering of small solutions to generalized benjamin-bona-mahony equation in several space dimensions, Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits, Hyperbolic-hyperbolic singular limits, A limit problem for three-dimensional ideal compressible radiation magneto-hydrodynamics, Well-posedness of the nonlinear equations for zero mach number combustion, BV Solutions to 1D isentropic Euler equations in the zero mach number limit, On the incompressible limit of the compressible navier-stokes equations, On the incompressible limit of the compressible Euler equation, A low-Mach Roe-type solver for the Euler equations allowing for gravity source terms, ON THE INCOMPRESSIBLE LIMIT FOR THE NAVIER–STOKES–FOURIER SYSTEM IN DOMAINS WITH WAVY BOTTOMS, Boundary layers associated with the 3-D Boussinesq system for Rayleigh–Bénard convection, Well-posedness of a two-dimensional coordinate-free model for the motion of flame fronts, Long time existence and singular perturbation results for quasi-linear hyperbolic equations with small parameter and dissipation term, Incompressible limit of the compressible Q-tensor system of liquid crystals, Convergence of solutions to finite difference schemes for singular limits of nonlinear evolutionary PDEs, The Combined Incompressible Quasineutral Limit of the Stochastic Navier--Stokes--Poisson System, Symmetric hyperbolic systems with a large parameter, Averaging over fast gravity waves for geophysical flows with arbitary, A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Shallow Water Equations Over Irregular Bottom Topography, Approximation by an iterative method of a low‐Mach model with temperature dependent viscosity, Stationarity preserving schemes for multi-dimensional linear systems, Multi-scale nonlinear singular limit for thermal non-equilibrium gas flow with multiple non-equilibrium modes for analytic data in multi-dimensions with physical boundaries, Congested shallow water model: roof modeling in free surface flow, A note on incompressible limit for compressible Euler equations, On the Low Mach Number Limit for the Compressible Euler System, Convergence of the viscosity solutions for weakly strictly hyperbolic conservation laws, Moderately Fast Three-Scale Singular Limits, Construction of a low Mach finite volume scheme for the isentropic Euler system with porosity, Asymptotic Preserving Error Estimates for Numerical Solutions of Compressible Navier--Stokes Equations in the Low Mach Number Regime, Three-scale singular limits of the rotating stratified Boussinesq equations, Rigorous derivation of a Boltzmann relation from isothermal Euler-Poisson systems, Initial layers and zero‐relaxation limits of multidimensional Euler–Poisson equations, Fundamental equations for primary fluid recovery from porous media, A High-Order Method for Weakly Compressible Flows, A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces, A Novel Full-Euler Low Mach Number IMEX Splitting, On the incompressible limit problems for multicomponent reactive flows, Approximation of the incompressible non‐Newtonian fluid equations by the artificial compressibility method, Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels, Convergence of the nonisentropic Euler–Maxwell equations to compressible Euler–Poisson equations, Interactions of fast and slow waves in hyperbolic systems with two time scales, A simple justification of the singular limit for equatorial shallow‐water dynamics, Unnamed Item, Modeling nearly incompressible turbulence with minimum Fisher information, Effects of clouds and phase changes on fast-wave averaging: a numerical assessment, Convergence rate estimates for the low Mach and Alfvén number three-scale singular limit of compressible ideal magnetohydrodynamics, FLOWS OF VISCOUS COMPRESSIBLE FLUIDS UNDER STRONG STRATIFICATION: INCOMPRESSIBLE LIMITS FOR LONG-RANGE POTENTIAL FORCES, SINGULAR LIMIT OF THE EQUATIONS OF MAGNETOHYDRODYNAMICS IN THE PRESENCE OF STRONG STRATIFICATION, Derivation of the ion equation, The multilayer shallow water system in the limit of small density contrast, Initial layer and incompressible limit for Euler–Poisson equation in nonthermal plasma, Nonequilibrium-Diffusion Limit of the Compressible Euler-P1 Approximation Radiation Model at Low Mach Number, Low Mach number limit of the compressible Navier-Stokes-Smoluchowski equations in multi-dimensions, Low-Mach-number asymptotics for two-phase flows of granular materials, WELL-POSEDNESS FOR THE EULER–NORDSTRÖM SYSTEM WITH COSMOLOGICAL CONSTANT, Study of an asymptotic preserving scheme for the quasi neutral Euler–Boltzmann model in the drift regime, Asymptotic analysis of the RS-IMEX scheme for the shallow water equations in one space dimension, Centered-Potential Regularization for the Advection Upstream Splitting Method, Rigorous justification of the Favrie–Gavrilyuk approximation to the Serre–Green–Naghdi model, Low Mach number limit of the compressible magnetohydrodynamic equations with zero thermal conductivity coefficient, Local Decay of Acoustic Waves in the Low Mach Number Limits on General Unbounded Domains Under Slip Boundary Conditions, On the Behaviors of Solutions Near Possible Blow-Up Time in the Incompressible Euler and Related Equations, THE NON-RELATIVISTIC LIMIT OF THE EULER–NORDSTRÖM SYSTEM WITH COSMOLOGICAL CONSTANT, Local well-posedness of the compressible FENE dumbbell model of Warner type, An Asymptotic-Preserving All-Speed Scheme for Fluid Dynamics and Nonlinear Elasticity, Parareal Convergence for Oscillatory PDEs with Finite Time-Scale Separation, Global zero-relaxation limit of the non-isentropic Euler–Poisson system for ion dynamics, Coupling strategies for compressible-low Mach number flows, Unnamed Item, Global existence and asymptotic behavior of solutions to the Euler equations with time-dependent damping, Derivation of particle, string, and membrane motions from the Born–Infeld electromagnetism, Lower bounds on blow up solutions of the three-dimensional Navier–Stokes equations in homogeneous Sobolev spaces, Multiple Scales and Singular Limits for Compressible Rotating Fluids with General Initial Data
Cites Work
