Singular limits for the Riemann problem: general diffusion, relaxation, and boundary conditions

DOI10.1016/j.crma.2006.11.015zbMath1109.65074OpenAlexW2070543376MaRDI QIDQ866590

K. T. Joseph, Philippe G. LeFloch

Publication date: 14 February 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.11.015

zbMATH Keywords

self-similar solutionregularizationsnonlinear hyperbolic systems

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (2)

Numerical methods with controlled dissipation for small-scale dependent shocks ⋮ Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems

Cites Work

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• Boundary layers in weak solutions of hyperbolic conservation laws. II: Self-similar vanishing diffusion limits
• Boundary layers in weak solutions of hyperbolic conservation laws. III: Vanishing relaxation limits
• Definition and weak stability of nonconservative products
• Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method
• Singular limits for the Riemann problem. General diffusion, relaxation, and boundary conditions
• Singular limits in phase dynamics with physical viscosity and capillarity

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