Nonlinear Development of Instabilities in Supersonic Vortex Sheets II: Resonant Interaction Among Kink Modes
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Publication:3035035
DOI10.1137/0149080zbMath0692.76057OpenAlexW2001465878MaRDI QIDQ3035035
Miguel Artola, Andrew J. Majda
Publication date: 1989
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0149080
shock wavesrarefaction wavessupersonic vortex sheetsclassical linearized stability analysislarge-scale numerical simulationssimplified asymptotic equations
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Nonlinear development of instabilities in supersonic vortex sheets. I. The basic kink modes ⋮ Nonlinear geometric optics for contact discontinuities in three dimensional compressible isentropic steady flows ⋮ Linear stability of compressible vortex sheets in two-dimensional elastodynamics ⋮ Numerical simulation of nonlinear kink instabilities on supersonic shear layers ⋮ Stability of contact discontinuities in three-dimensional compressible steady flows ⋮ Generalised Riemann problem for Euler system ⋮ Existence and stability of compressible current-vortex sheets in three-dimensional magneto\-hydrodynamics ⋮ Transmission of magnetosonic waves through current-vortex sheets ⋮ Stability of steady multi-wave configurations for the full Euler equations of compressible fluid flow ⋮ Structural Stability of Supersonic Contact Discontinuities in Three-Dimensional Compressible Steady Flows
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