The Riemann problem for \(p\)-systems with continuous flux function

DOI10.5802/afst.937zbMath0959.35112OpenAlexW2334895797MaRDI QIDQ1576415

Boris P. Andreianov

Publication date: 26 April 2001

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1999_6_8_3_353_0

zbMATH Keywords

vanishing viscosityselfsimilar solutionnon-Lipschitz flux function

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (1)

Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems

Cites Work

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• A uniqueness criterion for the Riemann problem
• Method of vanishing viscosity and explicit solution of the Riemann problem for scalar conservation law
• Structure of solutions of the Riemann problem for hyperbolic systems of conservation laws
• Elastic as limit of viscoelastic response, in a context of self-similar viscous limits
• Solutions of the Riemann problem for hyperbolic systems of quasilinear equations without convexity conditions
• The Riemann problem for materials with nonconvex equations of state. I: Isentropic flow
• Some problems in the theory of quasilinear equations

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