On the existence of strong travelling wave profiles to 2×2 systems of viscous conservation laws

DOI10.1090/S0033-569X-2012-01301-0zbMath1267.35068MaRDI QIDQ4922283

Hiroki Ohwa

Publication date: 29 May 2013

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

zbMATH Keywords

regularization methodvanishing viscosity approach

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Traveling wave solutions (35C07)

Cites Work

• The Riemann problem for certain classes of hyperbolic systems of conservation laws
• Structure of solutions of the Riemann problem for hyperbolic systems of conservation laws
• Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method
• The entropy rate admissibility criterion for solutions of hyperbolic conservation laws
• Existence of solutions to the Riemann problem for 2 × 2 conservation laws
• Existence of solutions to the Riemann problem for a class of hyperbolic conservation laws exhibiting a parabolic degeneracy
• Existence of strong travelling wave profiles to $2\times 2$ systems of viscous conservation laws

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