Compressible fluid flow and systems of conservation laws in several space variables
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Publication:792816
zbMath0537.76001MaRDI QIDQ792816
Publication date: 1984
Published in: Applied Mathematical Sciences (Search for Journal in Brave)
conservation lawsweak solutionsblow-upsmooth solutionsquasilinear hyperbolic systemssmooth initial dataformation of shock waveslow Mach's numberone and several space variablesstability of shock frontsweakly nonlinear asymptotics
Shock waves and blast waves in fluid mechanics (76L05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Gas dynamics (general theory) (76N15) Combustion (80A25) Reaction effects in flows (76V05) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)
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I: Two-dimensional flames, Modelling, asymptotic analysis and simulation of the gas dynamics in a chimney, Approximation of a compressible Euler-Poisson equations by a non-isentropic Euler-Maxwell equations, Nonexistence of a globally stable supersonic conic shock wave for the steady supersonic isothermal Euler flow, Solving a non-linear stochastic pseudo-differential equation of Burgers type, Existence and stability of traveling wave solutions to first-order quasilinear hyperbolic systems, Global classical solutions to a kind of quasilinear hyperbolic systems in several space variables, Local existence of solutions of self gravitating relativistic perfect fluids, Vanishing electron mass limit in the bipolar Euler-Poisson system, Local well-posedness for membranes in the light cone gauge, Persistence of shocks in ducts, Quasi-neutral limit of the full bipolar Euler-Poisson system, The Jin-Xin relaxation approximation of scalar conservation laws in several dimensions with large initial perturbation, Mechanism of singularity formation for quasilinear hyperbolic systems with linearly degenerate characteristic fields, Global regularity for the initial value problem of a 2-D Kazhikhov-Smagulov type model, Formation of singularities of solutions to the three-dimensional non-relativistic radiation hydrodynamic equations, Diffusive relaxation limits of compressible Euler-Maxwell equations, On a quasi-neutral approximation to the incompressible Euler equations, The relaxation-time limit in the compressible Euler-Maxwell equations, Spectral stability of finite volume schemes for linear hyperbolic systems, The nonlinear future stability of the FLRW family of solutions to the Euler-Einstein system with a positive cosmological constant, On the Cauchy problem for the two-component Euler-Poincaré equations, Initial layers and zero-relaxation limits of Euler-Maxwell equations, Large time behavior of solutions for compressible Euler equations with damping in \(\mathbb R^3\), Modeling of bone conduction of sound in the human head using hp-finite elements: code design and verification, Convergence of the compressible magnetohydrodynamic equations to incompressible magnetohydrodynamic equations, On the well-posedness of the vacuum Einstein's equations, Global existence of small solutions to the Kerr-Debye model for the three-dimensional Cauchy problem, Stability of non-constant equilibrium solutions for Euler-Maxwell equations, Stability of traveling wave solutions to Cauchy problem of diagnolizable, A single exponential BKM type estimate for the 3D incompressible ideal MHD equations, Global strong solution to the initial-boundary value problem of a 2-D Kazhikhov-Smagulov type model, Newtonian limit of Maxwell fluid flows, Convergence of the Euler-Maxwell two-fluid system to compressible Euler equations, On the motion of a compressible gravity water wave with vorticity, Analysis of an inviscid zero-Mach number system in endpoint Besov spaces for finite-energy initial data, Global small solutions of 2-D incompressible MHD system, Asymptotic stability of steady state solutions for the relativistic Euler-Poisson equations, The optimal decay estimates on the framework of Besov spaces for generally dissipative systems, Two-velocity hydrodynamics in fluid mechanics. 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L^q - L^r\) estimates and minimal decay regularity for compressible Euler-Maxwell equations, On a one-dimensional model for the three-dimensional vorticity equation, The one-dimensional Darcy's law as the limit of a compressible Euler flow, Calculations of non-Boussinesq convection by a pseudospectral method, Structural stability of shock waves and current-vortex sheets in shallow water magnetohydrodynamics, Quasineutral limit for the compressible two-fluid Euler-Maxwell equations for well-prepared initial data, Magnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces, On regular solutions of the \(3\)D compressible isentropic Euler-Boltzmann equations with vacuum, Hyperbolic equations of Von Karman type, On local existence of MHD contact discontinuities, Transonic flows with shocks past curved wedges for the full Euler equations, On the singular limit for slightly compressible fluids, Singular pseudodifferential operators, symmetrizers, and oscillatory multidimensional shocks, The Newtonian limit for asymptotically flat solutions of the Vlasov- Einstein system, An ideal compressible magnetohydrodynamic solver with parallel block-structured adaptive mesh refinement, A note on incompressibility of relativistic fluids and the instantaneity of their pressures, Expanding large global solutions of the equations of compressible fluid mechanics, On the integrability of \((2+1)\)-dimensional quasilinear systems, Well-posedness for the dumbbell model of polymeric fluids, A stability index for detonation waves in Majda's model for reacting flow, Geodesics and the Einstein nonlinear wave system, Stability of non-constant equilibrium solutions for bipolar full compressible Navier-Stokes-Maxwell systems, Unique solvability for the density-dependent Navier-Stokes equations, Weakly stable multidimensional shocks, Completely linear degeneracy for quasilinear hyperbolic systems, Asymptotic behavior of solutions to an electromagnetic fluid model, Analysis of preconditioning and multigrid for Euler flows with low- subsonic regions, Stability of surfaces of strong discontinuity in gases, Volume viscosity and internal energy relaxation: error estimates, The asymptotic behavior of globally smooth solutions of non-isentropic Euler-Maxwell equations for plasmas, Smooth solutions to diffusion approximation radiation hydrodynamics equations, The initial-boundary value problem for the non-barotropic compressible Euler equations: Structural-stability and data dependence, A connection between scalar conservation laws and infinite linear systems of PDE's, Local smooth solutions of the relativistic Euler equation. 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(Propagation of local smoothness for solutions of nonlinear hyperbolic equations), Some new Kazhikhov-Smagulov type systems: pollutant spread and low Mach number combustion models, Nonlinear stability of strong planar rarefaction waves for the relaxation approximation of conservation laws in several space dimensions, Hyperbolic to parabolic relaxation theory for quasilinear first order systems, A stochastic system of particles modelling the Euler equations, Numerical simulation of the homogeneous equilibrium model for two-phase flows, Propagation of shock wave type singularities in equations of two-dimensional zero-pressure gas dynamics, Stability of fast parallel MHD shock waves in polytropic gas, Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions. II, The linearized stability of solutions of nonlinear hyperbolic systems of conservation laws. 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Dafermos, Hyperbolic conservation laws in continuum physics. 4th ed., Mechanisms of Lagrangian analyticity in fluids, Equilibrium perturbations for stochastic interacting systems, Singularities of solutions to compressible Euler equations with damping, Strong solution for 3D compressible liquid crystal system with random force, The combined non-equilibrium diffusion and low Mach number limits of a model arising in radiation magnetohydrodynamics, Rotation-dominant three-scale limit of the Cauchy problem to the inviscid rotating stratified Boussinesq equations, Compressible limit of the nonlinear Schrödinger equation with different-degree small parameter nonlinearities, Global well-posedness and large-time behavior of a hyperbolic-parabolic model in an exterior domain, Vanishing viscosity limit of the three-dimensional barotropic compressible Navier-Stokes equations with degenerate viscosities and far-field vacuum, Large-time behavior of solutions to an outflow problem for a shallow water model, Diffusive relaxation limit of the multi-dimensional Jin-Xin system, Global existence and large time behavior for the system of compressible adiabatic flow through porous media in \(\mathbb R^3\), Global classical solutions for partially dissipative hyperbolic system of balance laws, KdV limit of the Euler-Poisson system, A transmission problem for quasi-linear wave equations, Blow-up for compressible Euler system with space-dependent damping in 1-D, Formation and propagation of singularities in one-dimensional Chaplygin gas, WKB analysis of the Schrödinger-KdV system, Influence of nonlinearity of the phonon dispersion relation on wave velocities in the four-moment maximum entropy phonon hydrodynamics, On the controllability of the non-isentropic 1-D Euler equation, Towards front-tracking based on conservation in two space dimensions. 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The basic kink modes, Singular limits in bounded domains for quasilinear symmetric hyperbolic systems having a vorticity equation, Analysis of Godunov type schemes applied to the compressible Euler system at low Mach number, Modeling the coastal ocean over a time period of several weeks, On the well-posedness of the ideal MHD equations in the Triebel-Lizorkin spaces, The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence, On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation., On a stochastic nonlinear equation arising from 1D integro-differential scalar conservation laws, Numerical methods for chemically reacting fluid flow computation under low-Mach number approximation, Instability in the evolution equations describing incompressible granular flow, The incompressible limit in nonlinear elasticity, Semi-classical limit of Schrödinger--Poisson equations in space dimension \(n\geqslant 3\), On the limit of the nonlinear Enskog equation corresponding with fluid dynamics, Global existence of a class of smooth 3D spherically symmetric flows of Chaplygin gases with variable entropy, Analytic regularity of uniformly stable shock fronts with analytic data, Geometric optics and instability for semi-classical Schrödinger equations, Numerical resolution of a potential diphasic low Mach number system, Well-posedness of a modified initial-boundary value problem on stability of shock waves in a viscous gas. I., Incompressible and compressible limits of coupled systems of nonlinear Schrödinger equations, WKB analysis for nonlinear Schrödinger equations with potential, Convergence results for MHD system, On isentropic approximations for compressible Euler equations, A Nash-Moser framework for finding periodic solutions of the compressible Euler equations, On global multidimensional supersonic flows with vacuum states at infinity, Compressible Euler equations interacting with incompressible flow, On hyperbolic-dissipative systems of composite type, Global existence and asymptotic stability of smooth solutions to a fluid dynamics model of biofilms in one space dimension, Blow-up phenomena for compressible Euler equations with non-vacuum initial data, Stability of non-constant equilibrium solutions for two-fluid Euler-Maxwell systems, Global solutions to nonisentropic hydrodynamic models for two-carrier plasmas, The combined non-relativistic and quasi-neutral limit of two-fluid Euler-Maxwell equations, The zero Mach number limit of the three-dimensional compressible viscous magnetohydrodynamic equations, Solutions of first-order quasilinear systems expressed in Riemann invariants, Initial layer and relaxation limit of non-isentropic compressible Euler equations with damping, Global solutions to the 2D viscous, non-resistive MHD system with large background magnetic field, Space-time discontinuous finite element approximations for multi- dimensional nonlinear hyperbolic systems, The pdf approach to turbulent flow, Remarques sur l'apparition de singularités dans les écoulements euleriens compressibles. (Remarks on the appearance of singularities in compressible Euler flows), Convergence of compressible Euler-Maxwell equations to compressible Euler-Poisson equations, On the connection between Hamiltonian many-particle systems and the hydrodynamical equations, Continuous dependence of entropy solutions to the Euler equations on the adiabatic exponent and Mach number, The initial boundary value problems for linear symmetric hyperbolic systems with characteristic boundary, Compatibility conditions to allow some large amplitude WKB analysis for Burger's type systems, Galloping instability of viscous shock waves, A theory of electromagnetic and gravitational fields, On the asymptotic behaviour of solutions of nonlinear kinetic equations, Counter-examples to concentration-cancellation, The regularized Chapman-Enskog expansion for scalar conservation laws, The global weak solutions of compressible Euler equation with spherical symmetry, Mathematical analysis of a two-phase continuum mixture theory, Notes on the incompressible Euler and related equations on \(\mathbb R^N\), Multidimensional \(\varepsilon\)-stratified waves and oscillations, Relaxation limit and initial layer analysis of a bipolar hydrodynamic model for semiconductors, Weakly nonlinear surface waves and subsonic phase boundaries, The zero-electron-mass limit in the hydrodynamic model for plasmas, The refined inviscid stability condition and cellular instability of viscous shock waves, Interaction of four rarefaction waves in the bi-symmetric class of the two-dimensional Euler equations, Gas flows with several thermal nonequilibrium modes, Convergence of compressible Euler-Poisson system to incompressible Euler equations, On the transformation of discontinuity waves from spatial to pressure coordinates for the primitive system of geophysical fluid dynamics, Singular limits of the Klein-Gordon equation, Decay estimates for hyperbolic balance laws, On the viscous and inviscid stability of magnetohydrodynamic shock waves, \(L^p\)-decay rates of planar viscous rarefaction wave for scalar conservation law with degenerate viscosity in \(n\)-dimensions, Global existence for a nonlinear Schrödinger-Chern-Simons system on a surface, Asymptotic stability of solutions to the nonisentropic hydrodynamic model for semiconductors, Stability of undercompressive viscous shock profiles of hyperbolic-parabolic systems, A review on some contributions to perturbation theory, singular limits and well-posedness, Asymptotic behavior of the solution to a nonisentropic hydrodynamic model of semiconductors, Existence and uniqueness of BV solutions for a conservation law with \(\sigma\)-finite Borel measures as initial conditions, Global BV solutions of compressible Euler equations with spherical symmetry and damping, The existence of current-vortex sheets in ideal compressible magnetohydrodynamics, Low Mach number limit for the non-isentropic Navier-Stokes equations, Modeling a limited region of the ocean, Nonlinear dynamics of hydrostatic internal gravity waves, Sound wave propagation through incompressible flows, Asymptotic of the solutions of hyperbolic equations with a skew-symmetric perturbation, WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity, Applications of Schochet's methods to parabolic equations, Computing flows on general three-dimensional nonsmooth staggered grids, A unified method for computing incompressible and compressible flows in boundary-fitted coordinates, Global foliations of vacuum spacetimes with \(T^2\) isometry, Singular perturbations of first-order hyperbolic systems with stiff source terms, On the hydrostatic and darcy limits of the convective Navier-Stokes equations, A posteriori error analysis in finite elements: The element residual method for symmetrizable problems with applications to compressible Euler and Navier-Stokes equations, The validity of nonlinear geometric optics for weak solutions of conservation laws, Sufficient conditions for local existence via Glimm's scheme for large BV data, Oscillations fortes sur un champ linéairement dégénéré, Quasineutral Limit of Euler–Poisson System with and without Viscosity, The limit from the Schrödinger‐Poisson to the Vlasov‐Poisson equations with general data in one dimension, Low Rossby limiting dynamics for stably stratified flow with finite Froude number, ANALYTICAL APPROACHES TO CHARGE TRANSPORT IN A MOVING MEDIUM, A review of hydrodynamical models for semiconductors: Asymptotic behavior, Solutions for a hyperbolic model of multi-phase flow, Global Classical Solutions to a Compressible Model for Micro-Macro Polymeric Fluids Near Equilibrium, Multidimensional Conservation Laws: Overview, Problems, and Perspective, Nonlinear Hyperbolic Surface Waves, On Radially Symmetric Solutions to Conservation Laws, A Two-Dimensional Riemann Problem for Scalar Conservation Laws, Long time classical solutions of a nonlinear wave equation, Global well-posedness of the compressible Euler with damping in Besov spaces, Existence of a classical solution to complex material flow problems, Nonrelativistic Limit of the Compressible Navier--Stokes--Fourier--P1 Approximation Model Arising in Radiation Hydrodynamics, Temps de vie et comportement explosif des solutions d'équations d'ondes quasi-linéaires en dimension deux. I, Strong solutions to an Oldroyd-B model with slip boundary conditions via incompressible limit, Stability of non-constant equilibrium solutions for two-fluid non-isentropic Euler-Maxwell systems arising in plasmas, Relaxation Limit and Initial-Layers for a Class of Hyperbolic-Parabolic Systems, A Geometric Theory of Conservation Laws which Change Type: Plenary Lecture held at the Annual GAMM Conference at Braunschweig, Germany, April 4‐9, 1994, Book Review: Quasilinear hyperbolic systems, compressible flows, and waves, Decay estimates of solutions to the bipolar non-isentropic compressible Euler–Maxwell system, Well-posedness of a model of nonhomogeneous compressible–incompressible fluids, Classical solutions to the relativistic Euler equations for a linearly degenerate equation of state, The Haantjes tensor and double waves for multi-dimensional systems of hydrodynamic type: a necessary condition for integrability, On the initial layer and the existence theorem for the nonlinear Boltzmann equation, A limit problem for three-dimensional ideal compressible radiation magneto-hydrodynamics, Variational approach to nonlinear gravity-driven instabilities in a MHD setting, The minimal decay regularity of smooth solutions to the Euler–Maxwell two-fluid system, Sur la solution à support compact de l’equation d’Euler compressible, Quasineutral limit for a model of three-dimensional Euler–Poisson system with boundary, The evolution of discontinuities in solutions of inhomogeneous scalar hyperbolic conservation laws in several space dimensions, Nonuniform Dependence on Initial Data for Compressible Gas Dynamics: The Cauchy Problem on $\mathbb{R}^2$, Wave propagation and shock formation in the most general scalar–tensor theories, On a hyperbolic system arising in liquid crystals modeling, Uniform Asymptotic and Convergence Estimates for the Jin--Xin Model Under the Diffusion Scaling, Hyperbolic Conservation Laws and L2, Convergence of solutions to finite difference schemes for singular limits of nonlinear evolutionary PDEs, Symmetric hyperbolic systems with a large parameter, Averaging over fast gravity waves for geophysical flows with arbitary, Resonantly Interacting Weakly Nonlinear Hyperbolic Waves in the Presence of Shocks: A Single Space Variable in a Homogeneous, Time Independent Medium, The paradifferential approach to the local well-posedness of some problems in mixture theory in two space dimensions, Existence and asymptotic stability of traveling wave solutions of a model system for reacting flow, On the motion of vortex sheets with surface tension in three-dimensional Euler equations with vorticity, The global Cauchy problem for compressible Euler equations with a nonlocal dissipation, Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation, A note on incompressible limit for compressible Euler equations, Uncertainty Propagation for Systems of Conservation Laws, High Order Stochastic Spectral Methods, Nearly incompressible magnetohydrodynamics at low Mach number, Moderately Fast Three-Scale Singular Limits, Dynamical Stability of Diffuse Phase Boundaries in Compressible Fluids, ODE singularity for blocked linearly degenerate quasilinear hyperbolic systems, Local strong solutions to the stochastic compressible Navier–Stokes system, An analytic theory and formulation of a local magnetohydrodynamic lattice gas model, Rigorous derivation of a Boltzmann relation from isothermal Euler-Poisson systems, Initial layers and zero‐relaxation limits of multidimensional Euler–Poisson equations, Semiclassical limit of the nonlinear Schrödinger equation in small time, Unnamed Item, Energy methods for stochastic differential equations, Existence and uniqueness of weak solutions for precipitation fronts: A novel hyperbolic free boundary problem in several space variables, Hamiltonian Structure, Fluid Representation and Stability for the Vlasov–Dirac–Benney Equation, Degeneracy in Finite Time of 1D Quasilinear Wave Equations, Local Existence of a Solution of a Semilinear Wave Equation with Gradient in a Neighborhood of Initial Characteristic Hypersurfaces of a Lorentzian Manifold, Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations, Global Oscillatory Waves for Second Order Quasilinear Wave Equations, A simple justification of the singular limit for equatorial shallow‐water dynamics, Error estimates for the standard Galerkin-finite element method for the shallow water equations, Linear and Nonlinear Waves in Gas Dynamics, A particle-field theory in the form of a hyperbolic free boundary problem, On boundary conditions in lattice Boltzmann methods, Global existence and nonlinear diffusion of classical solutions to non-isentropic Euler equations with damping in bounded domain, Well-posedness of the upper convected Maxwell fluid in the limit of infinite Weissenberg number, Three-dimensional simulations of premixed hydrogen/air flames in microtubes, Quasineutral limit of the pressureless Euler-Poisson equation for ions, Unnamed Item, Convergence of Nonlinear Schrödinger–Poisson Systems to the Compressible Euler Equations, Convergence of singular limits for multi-D semilinear hyperbolic systems to parabolic systems, On some singular limits in damped radiation hydrodynamics, Mathematical Modeling of Powder-Snow Avalanche Flows, Three-Dimensional Global Supersonic Euler Flows in the Infinitely Long Divergent Nozzles, Nonequilibrium-Diffusion Limit of the Compressible Euler-P1 Approximation Radiation Model at Low Mach Number, Numerical simulation of laminar flames at low Mach number by adaptive finite elements, Quasineutral Limit of the Vlasov-Poisson System with Massless Electrons, Well-posedness for compressible Euler equations with physical vacuum singularity, Unnamed Item, A Rigorous Justification of the Euler and Navier--Stokes Equations with Geometric Effects, Non-relativistic limit of two-fluid Euler-Maxwell equations arising from plasma physics, Acoustic limit for the Boltzmann equation in optimal scaling, Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form, The strong relaxation limit of the multidimensional isothermal Euler equations, Global classical solutions to partially dissipative quasilinear hyperbolic systems with weaker restrictions on wave interactions, The one-dimensional shallow water equations with transparent boundary conditions, Riemann Invariants and Rank-k Solutions of Hyperbolic Systems, Unnamed Item, Boundary layers and glancing blow-up in nonlinear geometric optics, Solution reguliere a temps petit pour l'equation d'euler—poisson, Hydrodynamic limits of the vlasov equation, Unnamed Item, Existence theory to the equations in viscoelasticity at finite deformations, An asymptotic preserving scheme on staggered grids for the barotropic Euler system in low Mach regimes, Shock Formation and Vorticity Creation for 3d Euler, Symmetrization and local existence of strong solutions for diffuse interface fluid models, Hyperbolic–parabolic normal form and local classical solutions for cross-diffusion systems with incomplete diffusion, Supersonic Reacting Jet Flows from a Three-Dimensional Divergent Conical Nozzle, Global convergence in non-relativistic limits for Euler-Maxwell system near non-constant equilibrium, Hydrodynamic limit of Boltzmann equations for gas mixture, Quasi-neutral limit for the full Euler-Poisson system in one-dimensional space, Rigorous derivation of the Euler-alignment model with singular communication weights from a kinetic Fokker–Planck-alignment model, Hydrodynamic limits of Manton's Schrödinger system, Absence of singularities in solutions for the compressible Euler equations with source terms in, The derivation of the compressible Euler equation from quantum many-body dynamics, Two-dimensional Riemann problems: transonic shock waves and free boundary problems, Delayed singularity formation for three‐dimensional compressible Euler equations with non‐zero vorticity, Global convergence of a two-fluid non-isentropic Euler–Poisson system in one space dimension, Well-posedness of Whitham-Broer-Kaup equation with negative dispersion, The asymptotic profile of solutions to damped Euler equations, A comparative study of high‐resolution methods for nonlinear hyperbolic problems, From bipolar Euler-Poisson system to unipolar Euler-Poisson one in the perspective of mass, Asymptotics for singular limits via phase functions, The optimal time‐decay estimate of solutions to two‐fluid Euler‐Maxwell equations in the critical Besov space, Long time existence of smooth solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity, Global existence for partially dissipative hyperbolic systems in the \(L^p\) framework, and relaxation limit, Zero-relaxation limits of the non-isentropic Euler-Maxwell system for well/ill-prepared initial data, Quantified hydrodynamic limits for Schrödinger-type equations without the nonlinear potential, Low Mach number limit of nonisentropic inviscid Hookean elastodynamics, Initial layer of the incompressible Oldroyd-B model for weakly viscoelastic fluids at the low Weissenberg number, Global existence and large time behaviour for the pressureless Euler–Naver–Stokes system in ℝ3, Nonrelativistic limit of the Euler‐HMPN approximation models arising in radiation hydrodynamics, Global non-relativistic quasi-neutral limit for a two-fluid Euler-Maxwell system, The compressible Euler and acoustic limits from quantum Boltzmann equation with Fermi-Dirac statistics, \(W\)-entropy and Langevin deformation on Wasserstein space over Riemannian manifolds, Local existence of solutions to the Euler-Poisson system, including densities without compact support, Motion of slightly compressible fluids in a bounded domain, II, Emergence of a Hierarchy of Singularities in Zero-Pressure Media. Two-Dimensional Case, Global existence of smooth solutions to a full Euler–Poisson system in one space dimension, Incompressible limit of nonisentropic Hookean elastodynamics, Stability and large-time behavior of the inviscid Boussinesq system for the micropolar fluid with damping, Zero-Mach limit of the compressible Navier–Stokes–Korteweg equations, Lifespan of smooth solutions for timelike extremal surface equation in de Sitter spacetime, Global classical solutions for general quasilinear hyperbolic systems with decay initial data, WKB analysis of the logarithmic nonlinear Schrödinger equation in an analytic framework, Classical solutions for the Euler equations of compressible fluid dynamics: A new topological approach, Global existence and lifespan of smooth solutions of biwave maps, Multidimensional transonic shock waves and free boundary problems, The Initial-Value Problem to the Modified Two-Component Euler--Poincaré Equations, Assessment of the constant non-unity Lewis number assumption in chemically-reacting flows, Formation and Construction of a Multidimensional Shock Wave for the First-Order Hyperbolic Conservation Law with Smooth Initial Data, Singular limit of the nonisentropic compressible ideal MHD equations in a domain with boundary, Unnamed Item, Global Quasi-Neutral Limit for a Two-Fluid Euler–Poisson System in Several Space Dimensions, Global Existence Versus Blow-Up for Multidimensional Hyperbolized Compressible Navier–Stokes Equations, Formation of Point Shocks for 3D Compressible Euler, Zero-electron-mass limit of the compressible Navier–Stokes–Poisson equations with well/ill-prepared initial data, Lifespan estimates for the compressible Euler equations with damping via Orlicz spaces techniques, Invariant solutions of the supersymmetric version of a two-phase fluid flow system, Hyperbolic Conservation Laws: Past, Present, Future, On vacuum free boundary problems in ideal compressible magnetohydrodynamics, A regularity criterion for the compressible hydrodynamic‐Maxwell system, Global existence of strong solutions and Serrin-type blowup criterion for 3D combustion model in bounded domains, The Cauchy problem for a quasilinear system of equations with coupling in the linearization, Time-asymptotic interactions of two ensembles of Cucker-Smale flocking particles, Well-posedness and blow-up criterion for the Chaplygin gas equations in ℝN, Highly oscillatory waves in quasilinear hyperbolic-parabolic coupled equations, A Geometric Theory of Conservation Laws which Change Type: Plenary Lecture held at the Annual GAMM Conference at Braunschweig, Germany, April 4‐9, 1994, Modeling shallow water waves, Unnamed Item, Unnamed Item, Existence of approximate current-vortex sheets near the onset of instability, The hidden null structure of the compressible Euler equations and a prelude to applications, Convergence of the three-dimensional compressible Navier-Stokes-Poisson-Korteweg equation to the incompressible Euler equation, Persistence of the Steady Normal Shock Structure for the Unsteady Potential Flow, 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, The incompleteness of the Born-Infeld model for non-linear multi-d Maxwell’s equations, GLOBAL CONVERGENCE OF AN ISENTROPIC EULER-POISSON SYSTEM IN R<sup>+</sup>×R<sup>d</sup>, The Incompressible Limits of Viscous Polytropic Fluids with Zero Thermal Conductivity Coefficient, Low Froude number limit of the rotating shallow water and Euler equations, Viscoelastic flows of Maxwell fluids with conservation laws, Stability and Unstability of the Standing Wave to Euler Equations, Error Estimates for the Iterative Discontinuous Galerkin Method to the Nonlinear Poisson-Boltzmann Equation, Some Recent Asymptotic Results in Fluid Mechanics, Stability of non‐constant steady‐state solutions for non‐isentropic Euler–Maxwell system with a temperature damping term, Strong solutions to 3D compressible magnetohydrodynamic equations with Navier‐slip condition, Long Wavelength Limit for the Quantum Euler--Poisson Equation, Incompressible Limit of the Nonisentropic Ideal Magnetohydrodynamic Equations, Computing the refined stability condition, Theorems on existence and global dynamics for the Einstein equations, Weakly compressible high-order \(I\)-stable central difference schemes for incompressible viscous flows, On the semiclassical limit of the general modified NLS equation, Fast Wave Averaging for the Equatorial Shallow Water Equations, Local and global existence theorems for the Einstein equations, Theorems on existence and global dynamics for the Einstein equations, On stability of shock waves in a compressible viscous heat conducting gas, On the construction of upwind schemes for non-equilibrium transient two-phase flows, Local and global existence theorems for the Einstein equations, Theory of Hyperbolic Evolution Equations and Partial Differential Equations, The Euler Equations of Compressible Fluid Flow, Global Hilbert expansion for the Vlasov-Poisson-Boltzmann system, Uniform global existence and parabolic limit for partially dissipative hyperbolic systems, Effects of clouds and phase changes on fast-wave averaging: a numerical assessment, On the analysis of a coupled kinetic-fluid model with local alignment forces, Convergence rate estimates for the low Mach and Alfvén number three-scale singular limit of compressible ideal magnetohydrodynamics, Convergence of Compressible Euler–Maxwell Equations to Incompressible Euler Equations, Modeling of a diffusion with aggregation: rigorous derivation and numerical simulation, Qualitative analysis of solution for the full compressible Euler equations in RN, On an initial boundary value problem for gas dynamics in thermal nonequilibrium, Solutions with a uniform time of existence of a class of characteristic semi-linear wave equations near S+, On the Global Solution of a 3‐D MHD System with Initial Data near Equilibrium, Study of an asymptotic preserving scheme for the quasi neutral Euler–Boltzmann model in the drift regime, Characteristic integrals in 3D and linear degeneracy, The 2D compressible Euler equations in bounded impermeable domains with corners, Asymptotic Stability of Planar Rarefaction Waves for Viscous Conservation Laws in Several Dimensions, On uniqueness of dissipative solutions to the isentropic Euler system, Well-posedness and derivative blow-up for a dispersionless regularized shallow water system, Hyperbolic free boundary problems and applications to wave-structure interactions, Entropy criteria and stability of extreme shocks: a remark on a paper of Leger and Vasseur, Global zero-relaxation limit of the non-isentropic Euler–Poisson system for ion dynamics, Two-velocity hydrodynamics in fluid mechanics: global existence for 2D case, The vacuum boundary problem for the spherically symmetric compressible Euler equations with positive density and unbounded entropy, Uniformly Global Smooth Solutions and Convergence of Euler--Poisson Systems with Small Parameters, The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings, Convergence rate from hyperbolic systems of balance laws to parabolic systems, Long time solutions for a Burgers-Hilbert equation via a modified energy method, Global Existence of Smooth Solutions for a Nonconservative Bitemperature Euler Model, Global existence and asymptotic behavior of solutions to the Euler equations with time-dependent damping, Existence and stability of traveling wave solutions to one-sided mixed initial-boundary value problem for first-order quasilinear hyperbolic systems, Convergence rate from systems of balance laws to isotropic parabolic systems, a periodic case, On vanishing pressure limit of continuous solutions to the isentropic Euler equations, Formation of singularities for a family of 1D quasilinear wave equations, Corrigendum: Error Estimates for Galerkin Approximations of the Serre Equations, Local existence with low regularity for the 2D compressible Euler equations, Toward uniform existence and convergence theorems for three-scale systems of hyperbolic PDEs with general initial data, Bifurcation Analysis of the Oblique Shock Wave in the Supersonic Flow Over a Wedge from a Calculus of Variation Approach
