Multiple-mode diffusion waves for viscous nonstrictly hyperbolic conservation laws

DOI10.1007/BF02099669zbMath0733.35011OpenAlexW1990570517MaRDI QIDQ810263

I.-Liang Chern

Publication date: 1991

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02099669

zbMATH Keywords

self-similar solutionsviscous conservation lawsmultiple-mode diffusion waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65)

Related Items

Long-time effect of relaxation for hyperbolic conservation laws ⋮ Global existence and optimal temporal decay estimates for systems of parabolic conservation laws. II: The multidimensional case ⋮ \(L^ p\) asymptotic behavior of solutions to hyperbolic-parabolic systems of conservation laws ⋮ Asymptotics of solutions of nonlinear parabolic equations. ⋮ L^p ASYMPTOTIC BEHAVIOR OF PERTURBED VISCOUS SHOCK PROFILES ⋮ Asymptotic agreement of moments and higher order contraction in the Burgers equation ⋮ Pointwise time asymptotic behavior of solutions to a general class of hyperbolic balance laws ⋮ Some \(L^p\) estimates for rotationally invariant systems of viscous conservation laws ⋮ Time-asymptotic behavior of wave propagation around a viscous shock profile ⋮ Global existence and optimal temporal decay estimates for systems of parabolic conservation laws i: the one-dimensional case ⋮ Shock waves in conservation laws with physical viscosity ⋮ Nonlinear \(L^2\)-stability under large disturbances

Cites Work

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• Nonlinear stability of shock waves for viscous conservation laws
• The partial differential equation u_t + uu_x = μ_xx