Well-posedness of a modified initial-boundary value problem on stability of shock waves in a viscous gas. II

DOI10.1016/j.jmaa.2006.08.077zbMath1117.35041OpenAlexW4246783510MaRDI QIDQ879127

D. L. Tkachev, Alexander Blokhin, Denis V. Esipov

Publication date: 4 May 2007

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.2006.08.077

zbMATH Keywords

a priori estimatesLyapunov stabilityasymptotic stabilitygeneralized solutionGibbs relationLopatinsky determinant

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Initial-boundary value problems for first-order hyperbolic systems (35L50) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

• Well-posedness of a modified initial-boundary value problem on stability of shock waves in a viscous gas. I.
• Global well-posedness of the Cauchy problem for the Navier-Stokes equations of nonisentropic flow with discontinuous initial data
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