Transition to instability of planar viscous shock fronts: The refined stability condition

DOI10.4171/ZAA/1361zbMath1172.35060OpenAlexW2093678083MaRDI QIDQ957466

Kevin Zumbrun, Sylvie Benzoni-Gavage, Denis Serre

Publication date: 27 November 2008

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=27&iss=4&rank=1

zbMATH Keywords

shock waveEvens functionviscous conservation laws, spectral stability

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) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (4)

The Cauchy problem for 1-D linear nonconservative hyperbolic systems with possibly expansive discontinuity of the coefficient: a viscous approach ⋮ Computing the refined stability condition ⋮ The refined inviscid stability condition and cellular instability of viscous shock waves ⋮ Transverse bifurcation of viscous slow MHD shocks

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