\(L^ p\) asymptotic behavior of solutions to hyperbolic-parabolic systems of conservation laws

DOI10.1007/BF01207832zbMath0858.35050MaRDI QIDQ1924911

Yanni Zeng

Publication date: 27 October 1996

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

self-similar solutionsBurgers equationcompressible Navier-Stokes equationsnonlinear diffusion waveshyperbolic-parabolic system of conservation laws

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Hyperbolic conservation laws (35L65) Initial value problems for second-order parabolic equations (35K15)

Related Items (2)

Time-asymptotic behavior of wave propagation around a viscous shock profile ⋮ Shock waves in conservation laws with physical viscosity

Cites Work

• Multiple-mode diffusion waves for viscous nonstrictly hyperbolic conservation laws
• Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
• Convergence to diffusion waves of solutions for viscous conservation laws
• Erratum: Convergence of diffusion waves of solutions for viscous conservation laws
• Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws
• Nonlinear stability of shock waves for viscous conservation laws
• Large-time behaviour of solutions to hyperbolic–parabolic systems of conservation laws and applications
• L¹ asymptotic behavior of compressible, isentropic, viscous 1‐D flow
• Systems of Conservation Equations with a Convex Extension
• The partial differential equation u_t + uu_x = μ_xx
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