Periodic BV solutions of hyperbolic balance laws with dissipative source

DOI10.1016/j.jmaa.2015.03.026zbMath1316.35190OpenAlexW2009022110WikidataQ115041162 ScholiaQ115041162MaRDI QIDQ2347144

Constantine M. Dafermos

Publication date: 26 May 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.03.026

zbMATH Keywords

periodic boundary conditionslong time behaviorKawashima conditionpartial damping

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (3)

Periodic entropy solution to a conservation law with nonlocal source arising in radiative gas ⋮ Relativistic kinetic theory of polyatomic gases: classical limit of a new hierarchy of moments and qualitative analysis ⋮ Time-periodic isentropic supersonic Euler flows in one-dimensional ducts driving by periodic boundary conditions

Cites Work

• Hyperbolic systems of balance laws via vanishing viscosity
• Global weak solutions for systems of balance laws
• BV solutions for hyperbolic systems of balance laws with relaxation
• Asymptotic behavior of BV solutions to hyperbolic systems of balance laws with relaxation
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• Stability of constant equilibrium state for dissipative balance laws system with a convex entropy
• Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy
• Solutions in the large for nonlinear hyperbolic systems of equations
• Decay of solutions of systems of nonlinear hyperbolic conservation laws
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