Large time behaviour of solutions of scalar viscous and nonviscous conservation laws

DOI10.1016/S0893-9659(98)00177-3zbMath0942.35030MaRDI QIDQ1808531

Danielle Hilhorst, Michiel Bertsch, I.Grattan-Guinness

Publication date: 9 April 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Riemann problementropy solutionsself-similar variabledegenerate nonlinear diffusion with convection

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Hyperbolic conservation laws (35L65)

Related Items (1)

The Riemann problem for a forward-backward parabolic equation

Cites Work

• Long-time behavior for a regularized scalar conservation law in the absence of genuine nonlinearity
• Compact sets in the space \(L^ p(0,T;B)\)
• Generalized local solution of a degenerate quasilinear second order parabolic equation
• Weak solutions to a nonlinear partial differential equation of mixed type
• Limiting Profiles in Contaminant Transport Through Porous Media
• Behavior of the solutions of the Cauchy problem for certain quasilinear equations for unbounded increase of the time
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