LARGE AMPLITUDE THEORY OF A SHOCK-ACCELERATED INSTABILITY IN COMPRESSIBLE FLUIDS

DOI10.11568/KJM.2011.19.2.191OpenAlexW4241006328MaRDI QIDQ5863357

Sung-Ik Sohn

Publication date: 11 March 2022

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2011.19.2.191

zbMATH Keywords

perturbation theoryshock waveRichtmyer-Meshkov instabilityinterfacial instability

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Shock waves and blast waves in fluid mechanics (76L05) Interfacial stability and instability in hydrodynamic stability (76E17)

Cites Work

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• An overview of Rayleigh-Taylor instability
• Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
• Quantitative theory of Richtmyer-Meshkov instability in three dimensions
• Applications of front tracking to the simulation of shock refractions and unstable mixing
• Vortex simulations of impulsively accelerated unstable interface
• Analytic solutions of unstable interfaces for all density ratios in axisymmetric flows
• Small amplitude theory of Richtmyer–Meshkov instability
• Nonlinear regime of a multimode Richtmyer–Meshkov instability: A simplified perturbation theory
• Nonlinear theory of unstable fluid mixing driven by shock wave

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