scientific article; zbMATH DE number 3609364
From MaRDI portal
Publication:4174434
zbMath0392.76065MaRDI QIDQ4174434
Publication date: 1978
Full work available at URL: http://sites.mathdoc.fr/PMO/PDF/N_NISHIDA-102.pdf
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
singularitiesconservation lawsRiemann problemsfree surfacecompressible Euler equationsnonlinear hyperbolic equationsBoltzmann equationsshallow water approximationCauchy-Kowalewski theoremExistence Theoryfluid dynamical limitGlimm SchemePolytropic Gasesshock wave theory
Shocks and singularities for hyperbolic equations (35L67) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Higher-order nonlinear hyperbolic equations (35L75)
Related Items
Singular behavior of vacuum states for compressible fluids, Global existence and decay rate of the Boussinesq-Burgers system with large initial data, Convergence rates to asymptotic profile for solutions of quasilinear hyperbolic equations with nonlinear damping, Existence of second order smooth solutions for 2D Euler equations with symmetry outside a core region, Frequency-localization Duhamel principle and its application to the optimal decay of dissipative systems in low dimensions, Stability of non-constant equilibrium solutions for bipolar full compressible Navier-Stokes-Maxwell systems, Asymptotic stability of solutions with strong discontinuities for the equations of isothermal gas dynamics, Convergence to strong nonlinear diffusion waves for solutions to \(p\)-system with damping on quadrant, The 3D compressible Euler equations with damping in a bounded domain, A condition implying the global existence of \(C^ 1\) solutions for a class of nonlinear transmission lines, Global Smooth Solutions for a Hyperbolic Chemotaxis Model on a Network, Global quasi-neutral limit for a two-fluid Euler-Poisson system in one space dimension, Non-uniqueness of admissible weak solutions to compressible Euler systems with source terms, Asymptotic stability in nonlinear elastic materials with dissipation, The asymptotic behavior of globally smooth solutions of non-isentropic Euler-Maxwell equations for plasmas, Convergence rates to nonlinear diffusive waves for solutions to nonlinear hyperbolic system, Global existence for quasi-linear dissipative wave equations with large data and small parameter, Nonresonant bilinear forms for partially dissipative hyperbolic systems violating the Shizuta-Kawashima condition, Asymptotic behavior of solutions of quasilinear hyperbolic equations with linear damping, On the decay of solutions of the linearized equations of conservation equations with viscosity and relaxation, Stability of traveling waves of models for image processing with non-convex nonlinearity, Formation of shock discontinuities for a class of nonlinear transmission lines, Compressible flow with damping and vacuum, Global existence to the initial-boundary value problem for a system of nonlinear diffusion and wave equations, Asymptotic behavior of the compressible non-isentropic Navier-Stokes-Maxwell system in \(\mathbb{R}^3\), Large time behavior of entropy solutions to some hyperbolic system with dissipative structure, Non-strictly hyperbolic systems, singularity and bifurcation, Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity, On the influence of damping in hyperbolic equations with parabolic degeneracy, Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis, Global existence and asymptotic stability of smooth solutions to a fluid dynamics model of biofilms in one space dimension, Half space problem of the system of compressible adiabatic flow through porous media in multi-D, Singularity formation for the inhomogeneous nonlinear wave equation with damping, Nonlinear stability of traveling waves to a parabolic-hyperbolic system modeling chemotaxis with periodic perturbations, Analysis of the \(M 1\) model: well-posedness and diffusion asymptotics, Asymptotic stability of spiky steady states for a singular chemotaxis model with signal-suppressed motility, Global existence and large time behavior for the system of compressible adiabatic flow through porous media in \(\mathbb R^3\), A numerical method for two phase flow with an unstable interface, Solutions in the large for the nonlinear hyperbolic conservation laws of gas dynamics, On the mathematical foundations of elastic stability theory. I, Large time behavior of solutions for compressible Euler equations with damping in \(\mathbb R^3\), Stability of non-constant equilibrium solutions for Euler-Maxwell equations, Global existence of a diffusion limit with damping for the compressible radiative Euler system coupled to an electromagnetic field, Convergence to diffusion waves for solutions of Euler equations with time-depending damping on quadrant, Relaxed Euler systems and convergence to Navier-Stokes equations, \(L^{1}\)-convergence rates to the Barenblatt solution for the damped compressible Euler equations, Wave-front tracking for the equations of non-isentropic gas dynamics -- basic lemmas, Grid adaptation and non-iterative defect correction for improved accuracy of numerical solutions of PDEs, The optimal decay estimates on the framework of Besov spaces for generally dissipative systems, Analysis of non-isentropic compressible Euler equations with relaxation, Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping, On Cauchy problems of thermal non-equilibrium flows with small data, Sub-shock formation in shock structure of a binary mixture of polyatomic gases, Decay rate for travelling waves of a relaxation model, Stability of steady-state solutions to Navier-Stokes-Poisson systems, Existence of global smooth solutions to the initial-boundary value problem for the quasi-linear wave equation with a degenerate dissipative term, Convergence to nonlinear diffusion waves for solutions of Euler equations with time-depending damping, The 3D non-isentropic compressible Euler equations with damping in a bounded domain, Stability of non-constant equilibrium solutions for the full compressible Navier-Stokes-Maxwell system, On the existence of solutions to nonstrictly hyperbolic problems in nonlinear viscoelasticity, Decay of solutions for the equations of isothermal gas dynamics, Local existence with physical vacuum boundary condition to Euler equations with damping, Global existence and long-time behavior of smooth solutions of two-fluid Euler-Maxwell equations, \(L^p\) convergence rates of solutions for \(n\)-dimensional quasilinear damped wave equation, Convergence to the Barenblatt solution for the compressible Euler equations with damping and vacuum, Asymptotic nonlinear stability of traveling waves to a system of coupled Burgers equations, On the isothermal compressible Euler equations with frictional damping, \(L ^1\) convergence to the Barenblatt solution for compressible Euler equations with damping, Stability of non-constant equilibrium solutions for compressible viscous and diffusive MHD equations with the Coulomb force, The stabilizing effect of spacetime expansion on relativistic fluids with sharp results for the radiation equation of state, Traveling waves in porous media with phase-dependent damping, LARGE-DATA SOLUTION OF A MODEL SYSTEM FOR SINGULAR SHOCKS, Global analysis of smooth solutions to a hyperbolic-parabolic coupled system, Initial-boundary value problems for a system of hyperbolic balance laws arising from chemotaxis, Decay of the 3D quasilinear hyperbolic equations with nonlinear damping, Existence of global smooth solution to the initial boundary value problem for \(p\)-system with damping, A source of uncertainty in computed discontinuous flows, Time decay rates for the equations of the compressible heat-conductive flow through porous media, Existence and asymptotic behavior of \(C^1\) solutions to the multi-dimensional compressible Euler equations with damping, Formation of singularities in solutions of a wave equation, Convergence to traveling waves of a singular PDE-ODE hybrid chemotaxis system in the half space, Boundary effect on asymptotic behavior of solutions to the \(p\)-system with time-dependent damping, Critical thresholds in hyperbolic relaxation systems, Nonlinear diffusion waves for hyperbolic \(p\)-system with nonlinear damping, Optimal decay rates of solutions to hyperbolic conservation laws with damping, Convergence Rates to Nonlinear Diffusion Waves for Solutions to the System of Compressible Adiabatic Flow through Porous Media, Asymptotic behavior of solutions to the damped quasilinear equation \(\partial^ 2/\partial t^ 2 u(x,t) + \gamma \partial u/\partial t (x,t) - \partial/\partial x \sigma(\partial u/\partial t)\), The isothermal limit for the compressible Euler equations with damping, Global existence of solutions to a hyperbolic-parabolic system, The strong relaxation limit of the multidimensional isothermal Euler equations, Asymptotic stability in a second-order symmetric hyperbolic system modeling the relativistic dynamics of viscous heat-conductive fluids with diffusion, Asymptotic stability of a composite wave of two traveling waves to a hyperbolic-parabolic system modeling chemotaxis, Asymptotic behaviors of solutions of quasilinear hyperbolic equations with linear damping. II, Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum, On the damped nonlinear evolution equation \(w_{tt}=\sigma(w)_{xx}- \gamma w_ t\), Wave-front tracking for the equations of non-isentropic gas dynamics, Time decay of solutions to the compressible Euler equations with damping, Systems of nonlinear hyperbolic equations associated with problems of classical electromagnetic theory, On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity, Convergence to nonlinear diffusion waves for solutions of \(M_1\) model, Global smooth solutions for a class of quasilinear hyperbolic systems with dissipative terms, Long Time Behavior of Solutions to the 3D Compressible Euler Equations with Damping, GLOBAL EXISTENCE TO THE INITIAL-BOUNDARY VALUE PROBLEM FOR A SYSTEM OF NONLINEAR DIFFUSION AND WAVE EQUATIONS II, Global Quasi-Neutral Limit for a Two-Fluid Euler–Poisson System in Several Space Dimensions, Global existence and asymptotic behavior of solutions for a hyperbolic‐parabolic model of chemotaxis on network, The Hyperbolic-Parabolic Chemotaxis System for Vasculogenesis: Global Dynamics and Relaxation Limit Toward a Keller–Segel Model, A remark on the multi-dimensional compressible Euler system with damping in the 𝐿^{𝑝} critical Besov spaces, Convergence to nonlinear diffusion waves for solutions of hyperbolic-parabolic chemotaxis system, Global existence of classical solutions for the gas flows near vacuum through ducts expanding with space and time, Convergence to a diffusive contact wave for solutions to a system of hyperbolic balance laws, Optimal Decay Rates of Solutions to a Blood Flow Model, Global convergence of a two-fluid non-isentropic Euler–Poisson system in one space dimension, Nonlinear stability of strong traveling waves for a chemotaxis model with logarithmic sensitivity and periodic perturbations, Space-time decay rate of the compressible adiabatic flow through porous media in \({\mathbb{R}}^3\), The best asymptotic profile of solutions to Euler equations with time‐dependent damping, Analysis of degenerate Burgers' equations involving small perturbation and large wave amplitude, Large time behavior of solutions to a reduced gravity two and a half layer model with damping, Uniform Asymptotic and Convergence Estimates for the Jin--Xin Model Under the Diffusion Scaling, Global resolvability for a viscoelastic model with relaxation, GLOBAL CONVERGENCE OF AN ISENTROPIC EULER-POISSON SYSTEM IN R<sup>+</sup>×R<sup>d</sup>, Singularities of solutions to the compressible Euler equations and Euler-Poisson equations with damping, Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions, Global smooth solution to a hyperbolic system on an interval with dynamic boundary conditions, The pointwise estimates of solutions for Euler equations with damping in multi-dimensions, Convergence to strong nonlinear diffusion waves for solutions of \(p\)-system with damping, Existence of global solutions to one-dimensional nonlinear Maxwell’s equations, Thermal non-equilibrium flows in three space dimensions, Asymptotic Behavior of Solutions to Euler Equations with Time-Dependent Damping in Critical Case, Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations, Initial boundary value problem for the 3D quasilinear hyperbolic equations with nonlinear damping, The influence of nonlinear conduction on singularity formation in the intense plane-wave, nonlinear dielectric interaction problem, Uniformly Global Smooth Solutions and Convergence of Euler--Poisson Systems with Small Parameters, Existence and asymptotic behavior of global smooth solution for p‐system with nonlinear damping and fixed boundary effect, Global existence and asymptotic behavior of solutions to the Euler equations with time-dependent damping
