Asymptotic behavior of BV solutions to hyperbolic systems of balance laws with relaxation

DOI10.1142/S0219891615500083zbMath1339.35039MaRDI QIDQ2948901

Constantine M. Dafermos

Publication date: 6 October 2015

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

entropy productionlarge time decaydissipative source termadmissible BV solutionsKawashima-type condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (8)

Hyperbolic balance laws with dissipative source relaxing to adiabatic conservation laws ⋮ BV solutions to a hyperbolic system of balance laws with logistic growth ⋮ Global well-posedness and asymptotic behavior of \(BV\) solutions to a system of balance laws arising in traffic flow ⋮ An iterative scaling function procedure for solving scalar non-linear hyperbolic balance laws ⋮ Wave scattering in hyperbolic balance laws and the zero relaxation limit ⋮ Uniqueness of Zero Relaxation Limit ⋮ Periodic BV solutions of hyperbolic balance laws with dissipative source ⋮ Hyperbolic balance laws with relaxation

Cites Work

• Unnamed Item
• Hyperbolic systems of balance laws via vanishing viscosity
• Existence theory for hyperbolic systems of conservation laws with general flux-functions
• Uniqueness and continuous dependence for systems of balance laws with dissipation
• Entropy and global existence for hyperbolic balance laws
• BV solutions for hyperbolic systems of balance laws with relaxation
• HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH WEAK DISSIPATION II
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• BV Solutions of Hyperbolic Balance Laws with Relaxation in the Absence of Conserved Quantities
• Solutions in the large for nonlinear hyperbolic systems of equations

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