BV Solutions of Hyperbolic Balance Laws with Relaxation in the Absence of Conserved Quantities

DOI10.1137/14096075XzbMath1320.35210MaRDI QIDQ5179168

Constantine M. Dafermos

Publication date: 19 March 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

relaxationstrictly hyperbolic systemspartially dissipative source

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Euler equations (35Q31)

Related Items (7)

Hyperbolic balance laws with dissipative source relaxing to adiabatic conservation laws ⋮ Global Entropy Solutions and Zero Relaxation Limit for Greenberg--Klar--Rascle Multilane Traffic Flow Model ⋮ Asymptotic behavior of BV solutions to hyperbolic systems of balance laws with relaxation ⋮ BV solutions to a hyperbolic system of balance laws with logistic growth ⋮ Wave scattering in hyperbolic balance laws and the zero relaxation limit ⋮ Uniqueness of Zero Relaxation Limit ⋮ Hyperbolic balance laws with relaxation

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