Boundary effect on a stationary viscous shock wave for scalar viscous conservation laws

DOI10.1006/jmaa.2000.7255zbMath0982.35068OpenAlexW2068103402MaRDI QIDQ5934253

Kenji Nishihara

Publication date: 8 April 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7255

zbMATH Keywords

initial-boundary value problemdegenerate shock casenon-degenerate shock caseweighted energy method

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65)

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Cites Work

• Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
• Asymptotic behavior for scalar viscous conservation laws with boundary effect
• Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity
• Propagation of a stationary shock layer in the presence of a boundary
• Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves

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