A characterization of the blow-up time for the solution of a conservation law in several space variable

DOI10.1080/03605308208820220zbMath0501.35054OpenAlexW2008620454MaRDI QIDQ3966525

David Hoff

Publication date: 1982

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308208820220

zbMATH Keywords

Cauchy problemblow-up timeconservation law in several space variableslocally Lipschitz continuous solutions

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

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Formation of singularities of solutions to a 1D compressible radiation hydrodynamics model ⋮ Lipschitz continuous solutions to the Cauchy problem for quasi-linear hyperbolic systems ⋮ Formation of singularities in compressible Euler-Poisson fluids with heat diffusion and damping relaxation

Cites Work

• Decay of solutions of hyperbolic systems of conservation laws with a convex extension

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