Computing the refined stability condition

DOI10.1090/S0033-569X-2015-01362-2zbMath1321.35152arXiv1207.4101MaRDI QIDQ5179410

Allison M. Lindgren, Nicholas Anderson, Gregory D. Lyng

Publication date: 19 March 2015

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4101

zbMATH Keywords

exact solutionsshock wavesnumerical approximationsrefined stability condition

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05)

Cites Work

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• Spectral stability of ideal-gas shock layers
• Nonlinear development of instabilities in supersonic vortex sheets. I. The basic kink modes
• Long-time behavior of scalar viscous shock fronts in two dimensions
• Alternate Evans Functions and Viscous Shock Waves
• Large viscous boundary layers for noncharacteristic nonlinear hyperbolic problems
• Stability of Step Shocks
• Viscous and inviscid stability of multidimensional planar shock fronts
• Asymptotic behavior of multidimensional scalar viscous shock fronts

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