L2-type contraction of viscous shocks for scalar conservation laws

DOI10.1142/S0219891621500089zbMath1484.35114arXiv1911.12526OpenAlexW3199634971WikidataQ115245169 ScholiaQ115245169MaRDI QIDQ5018993

Logan F. Stokols

Publication date: 27 December 2021

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

Full work available at URL: https://arxiv.org/abs/1911.12526

zbMATH Keywords

nonlinear stabilityshock wavescalar viscous conservation lawconvex flux-function

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65) Traveling wave solutions (35C07) Semilinear parabolic equations (35K58)

Cites Work

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• \(L^1\) stability estimates for \(n\times n\) conservation laws
• \(L^p\) stability for entropy solutions of scalar conservation laws with strict convex flux
• Contraction property for large perturbations of shocks of the barotropic Navier-Stokes system
• About the relative entropy method for hyperbolic systems of conservation laws
• Relative entropy and contraction for extremal shocks of conservation laws up to a shift
• ?1 stability of shock waves in scalar viscous conservation laws

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