On the existence of L2-valued thermodynamic entropy solutions for a hyperbolic system with boundary conditions

DOI10.1080/03605302.2020.1750426zbMath1448.35330arXiv1811.05300OpenAlexW3019929545MaRDI QIDQ5124550

Stefano Olla, Stefano Marchesani

Publication date: 29 September 2020

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.05300

zbMATH Keywords

quasilinear wave equationvanishing viscosityentropy solutionscompensated compactnessClausius inequalityquasilinear hyperbolic conservation laws

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50) Viscosity solutions to PDEs (35D40)

Related Items (1)

Hydrodynamic limit for a diffusive system with boundary conditions

Cites Work

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• Young Measures and an Application of Compensated Compactness to One-Dimensional Nonlinear Elastodynamics
• Hydrodynamic limit for an anharmonic chain under boundary tension
• A survey of entropy methods for partial differential equations
• Stochastic isentropic Euler equations
• Entropy and convexity for nonlinear partial differential equations
• Hyperbolic Conservation Laws in Continuum Physics

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