Large-Time Behavior of Solutions to a Scalar Conservation Law in Several Space Dimensions

DOI10.2307/2000626zbMath0602.35074OpenAlexW4250578481MaRDI QIDQ3737888

Daniel R. Phillips, Patricia Baumann

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000626

zbMATH Keywords

Cauchy problemwell posedlarge-time behaviorentropy conditioncompact perturbationtravelling shock

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65)

Related Items

On the propagation of perturbations for essentially nonautonomous quasilinear first-order equations, Burgers type equations, Gelfand's problem and Schumpeterian dynamics, Long-time behavior for a regularized scalar conservation law in the absence of genuine nonlinearity

Cites Work

• The formation and decay of shocks for a conservation law in several dimensions
• The Riemann Problem in Two Space Dimensions for a Single Conservation Law
• The Scalar Riemann Problem in Two Spatial Dimensions: Piecewise Smoothness of Solutions and Its Breakdown
• Invariants and Asymptotic Behavior of Solutions of a Conservation Law
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