Entropy criteria and stability of extreme shocks: a remark on a paper of Leger and Vasseur

DOI10.1090/S0002-9939-2014-12426-9zbMath1332.35221arXiv1305.4275MaRDI QIDQ5496315

Benjamin Texier, Kevin Zumbrun

Publication date: 30 January 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4275

zbMATH Keywords

relative entropy conditionLopatinski stability

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

Criteria on contractions for entropic discontinuities of systems of conservation laws ⋮ Multidimensional stability of large-amplitude Navier-Stokes shocks ⋮ Exponential Asymptotic Stability of Riemann Shocks of Hyperbolic Systems of Balance Laws ⋮ Hyperbolic Conservation Laws and L2 ⋮ \(L^2\)-type contraction for systems of conservation laws ⋮ Convex entropy, Hopf bifurcation, and viscous and inviscid shock stability

Cites Work

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• The existence of multidimensional shock fronts
• Stability theorem and truncation error analysis for the Glimm scheme and for a front tracking method for flows with strong discontinuities
• Stability of Step Shocks
• Viscous and inviscid stability of multidimensional planar shock fronts
• The stability of multidimensional shock fronts
• Shock waves in arbitrary fluids
• Hyperbolic Conservation Laws in Continuum Physics

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