On the Cauchy-Gelfand problem

DOI10.1134/S106456241506023XzbMath1339.35042MaRDI QIDQ265981

Gennadi M. Henkin, Alexander A. Shananin

Publication date: 13 April 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

vanishing viscosity methodquasilinear equationlocalization of shock wavesRiemann-type initial conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• Cauchy-Gelfand problem for quasilinear conservation law
• Piecewise smooth solutions of a single conservation law exist
• Asymptotic behaviour of the solutions of the Cauchy problem for non-linear first order equations
• The asymptotic behaviour of the solution to the Cauchy problem for a quasilinear first-order equation with a non-convex state function
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