On the viscous Cauchy problem and the existence of shock profiles for a $p$-system with a discontinuous stress function

DOI10.1090/S0033-569X-05-00960-5zbMath1085.35101OpenAlexW2041428049MaRDI QIDQ5700386

M. S. Figueira, João-Paulo Dias

Publication date: 28 October 2005

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-05-00960-5

zbMATH Keywords

Riemann problemviscoelasticity

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Linear constitutive equations for materials with memory (74D05)

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Cites Work

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• Conservation laws with discontinuous flux functions and boundary condition
• On the Riemann problem for some discontinuous systems of conservation laws describing phase transitions
• On the approximation of the solutions of the Riemann problem for a discontinuous conservation law
• Solutions to a scalar discontinuous conservation law in a limit case of phase transitions
• On the existence of weak solutions to the Cauchy problem for a class of quasilinear hyperbolic equations with a source term
• Stability of shock profiles in viscoelasticity with non‐convex constitutive relations
• Conservation Laws with Discontinuous Flux Functions

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