Nonlinear development of instabilities in supersonic vortex sheets. I. The basic kink modes

DOI10.1016/0167-2789(87)90019-4zbMath0632.76074OpenAlexW1661164962MaRDI QIDQ1095746

Miguel Artola, Andrew J. Majda

Publication date: 1987

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90019-4

zbMATH Keywords

Hamilton-Jacobi equationshock wavesperturbation expansionsrarefaction waveslinearized stability analysiskink modes in the slip-streamnonlinear Burgers transport equationssmall amplitude high frequency nonlinear time-dependent asymptotic perturbed solutionssmall amplitude nonlinear planar sound wavestability of supersonic vortex sheets

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05) Hydro- and aero-acoustics (76Q05) Basic methods in fluid mechanics (76M99)

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Cites Work

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• Weakly nonlinear high frequency waves
• A Theory for Spontaneous Mach-Stem Formation in Reacting Shock Fronts. II. Steady-Wave Bifurcations and the Evidence for Breakdown
• Initial-Boundary Value Problems for Linear Hyperbolic System
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