Periodic and almost periodic solutions of conservation laws: Global existence and decay

DOI10.1007/BF01238955zbMath0988.35110MaRDI QIDQ2749030

Hermano Frid

Publication date: 27 February 2002

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

zbMATH Keywords

Euler equationsGlimm schemenonisentropic gas dynamics

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Gas dynamics (general theory) (76N15) Almost and pseudo-almost periodic solutions to PDEs (35B15) Hyperbolic conservation laws (35L65) Theoretical approximation in context of PDEs (35A35)

Related Items (1)

The Divergence Theorem for Divergence Measure Vectorfields on Sets with Fractal Boundaries

Cites Work

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• Existence in the large for quasilinear hyperbolic conservation laws
• Convergence of the viscosity method for isentropic gas dynamics
• Convergence of approximate solutions to conservation laws
• Global existence for systems of parabolic conservation laws in several space variables
• The embedding of the positive cone of $H^{-1}$ in $W^{-1,\,q}$ is compact for all $q<2$ (with a remark of Haim Brezis)
• Large-time behavior of entropy solutions of conservation laws
• Decay of entropy solutions of nonlinear conservation laws
• Materials with internal variables and relaxation to conservation laws
• Global solutions of the relativistic Euler equations
• Kinetic formulation of the isentropic gas dynamics and \(p\)-systems
• The Cauchy problem for the system \(\partial_ tz - \partial_ x(\bar z^ y) = 0\)
• Semi-linear and kinetic relaxation for systems of conservation laws
• Compressible Euler equations with general pressure law
• Hyperbolic conservation laws with umbilic degeneracy. I
• Large time behavior of periodic solutions of hyperbolic systems of conservation laws
• Kinetic formulation for chromatography and some other hyperbolic systems
• Hyperbolic systems of conservation laws II
• Continuous dependence in the large for some equations of gas dynamics
• A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
• Nonstrictly hyperbolic systems of conservation laws of the conjugate type
• Zero relaxation and dissipation limits for hyperbolic conservation laws
• Large time behavior and homogenization of solutions of two‐dimensional conservation laws
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• The Vanishing Viscosity Method in One-Dimensional Thermoelasticity
• Solutions in the large for nonlinear hyperbolic systems of equations
• Global solution for an initial boundary value problem of a quasilinear hyperbolic system
• Decay of solutions of systems of nonlinear hyperbolic conservation laws
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Global existence of the regular solution of a quasilinear hyperbolic system
• Global solutions to a class of nonlinear hyperbolic systems of equations
• Solutions in the large for some nonlinear hyperbolic conservation laws
• The partial differential equation u_t + uu_x = μ_xx
• Stability of \(L^ \infty\) solutions of Temple class systems.

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