Large-time behavior of solutions for hyperbolic-parabolic systems of conservation laws

DOI10.3792/PJAA.62.285zbMath0627.35006OpenAlexW2094727911WikidataQ114844632 ScholiaQ114844632MaRDI QIDQ1092312

Shuichi Kawashima

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.285

zbMATH Keywords

self-similar solutionsBurgers equationinitial value problemsuperpositionunique solutionlarge-time behaviorsemilinearviscosity matrixheat-conductive fluidshyperbolic-parabolic systems of conservation equationsnonlinear and linear diffusion waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Partial differential equations of mixed type and mixed-type systems of partial differential equations (35M99)

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Cites Work

• Unnamed Item
• Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
• Hyperbolic systems of conservation laws II
• Nonlinear stability of shock waves for viscous conservation laws
• Systems of Conservation Equations with a Convex Extension

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