The existence and stability of multi-dimensional shock fronts

DOI10.1090/S0273-0979-1981-14908-9zbMath0465.76061OpenAlexW2076673836MaRDI QIDQ3917779

Andrew J. Majda

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1090/s0273-0979-1981-14908-9

zbMATH Keywords

hyperbolic conservation lawsexistence and stabilityshallow water theorydiscontinuous weak solutionsmulti-dimensional shock fronts

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Gas dynamics (general theory) (76N15) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (9)

Stability of surfaces of strong discontinuity in gases ⋮ Balanced flux formulations for multidimensional Evans-function computations for viscous shocks ⋮ Shock formation for 2\(D\) quasilinear wave systems featuring multiple speeds: blowup for the fastest wave, with non-trivial interactions up to the singularity ⋮ Multidimensional stability of large-amplitude Navier-Stokes shocks ⋮ The relativistic Euler equations: ESI notes on their geo-analytic structures and implications for shocks in 1D and multi-dimensions ⋮ Generalised Riemann problem for Euler system ⋮ Spectral stability of inviscid roll waves ⋮ Stable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearities ⋮ The existence and stability of multi-dimensional shock fronts

Cites Work

• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
• The existence and stability of multi-dimensional shock fronts
• Initial boundary value problems for hyperbolic systems

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