La transition vers l’instabilité pour les ondes de choc multi-dimensionnelles

DOI10.1090/S0002-9947-01-02831-8zbMath1078.35521OpenAlexW1542830956MaRDI QIDQ2750936

Denis Serre

Publication date: 21 October 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02831-8

zbMATH Keywords

shock wavesevolutionary conditionKreiss-Lopatinski condition

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (9)

Weakly stable multidimensional shocks ⋮ On the Mach stem configuration with shallow angle ⋮ One-dimensional stability of viscous strong detonation waves ⋮ The refined inviscid stability condition and cellular instability of viscous shock waves ⋮ Second order initial boundary-value problems of variational type ⋮ Stability of noncharacteristic boundary layers in the standing-shock limit ⋮ On the viscous and inviscid stability of magnetohydrodynamic shock waves ⋮ Stability of classical shock fronts for compressible hyperelastic materials of Hadamard type ⋮ Convex entropy, Hopf bifurcation, and viscous and inviscid shock stability

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