Perturbations of bounded variation of a strong shock wave

DOI10.1006/jdeq.1997.3276zbMath0881.35071OpenAlexW2039143230MaRDI QIDQ1366804

Andrea Corli, Monique Sablé-Tougeron

Publication date: 22 February 1998

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3276

zbMATH Keywords

shock curvebackground state

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65)

Related Items (10)

Unnamed Item ⋮ Solutions for a hyperbolic model of multi-phase flow ⋮ Stability of contact discontinuities under perturbations of bounded variation ⋮ The mathematical theory of splitting-merging patterns in phase transition dynamics ⋮ Steady supersonic flow past an almost straight wedge with large vertex angle. ⋮ Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: shocks and contact discontinuities ⋮ On the constrollability of the 1-D isentropic Euler equation ⋮ Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: rarefaction waves ⋮ Numerical methods with controlled dissipation for small-scale dependent shocks ⋮ Global weak solutions for a model of two-phase flow with a single interface

Cites Work

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• Hyperbolic systems of conservation laws II
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• Weakly Differentiable Functions
• Decay to N-waves of solutions of general systems of nonlinear hyperbolic conservation laws
• Linear and nonlinear large-time behavior of solutions of general systems of hyperbolic conservation laws
• Solutions in the large for nonlinear hyperbolic systems of equations
• THE SPACES $ BV$ AND QUASILINEAR EQUATIONS
• Decay of solutions of systems of nonlinear hyperbolic conservation laws

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