Instability of rarefaction shocks in systems of conservation laws
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Publication:2277089
DOI10.1007/BF00431723zbMath0724.76039OpenAlexW2153834708MaRDI QIDQ2277089
Zhouping Xin, J. Blake Temple, J. A. Smoller
Publication date: 1990
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00431723
smooth solutionsRiemann problemcontact discontinuitiesnonlinear hyperbolic systems of conservation lawsrarefaction shock solutions
Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05)
Related Items (5)
Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: shocks and contact discontinuities ⋮ The generalized nonlinear initial-boundary Riemann problem for linearly degenerate quasilinear hyperbolic systems of conservation laws ⋮ Global structure stability of Riemann solutions for linearly degenerate hyperbolic conservation laws under small BV perturbations of the initial data ⋮ Lifespan of classical discontinuous solutions to the generalized nonlinear initial-boundary Riemann problem for hyperbolic conservation laws with small BV data: shocks and contact discontinuities ⋮ Global structure stability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: shocks and contact discontinuities
Cites Work
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- Asymptotic stability of rarefaction waves for 2\(\times 2\) viscous hyperbolic conservation laws
- Global solutions for an extended class of hyperbolic systems of conservation laws
- The Riemann Problem Near a Hyperbolic Singularity: The Classification of Solutions of Quadratic Riemann Problems I
- Decay with a Rate for Noncompactly Supported Solutions of Conservation Laws
- Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
- Shocks Violating Lax's Condition are Unstable
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