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On the transition to instability for compressible vortex sheets

Published online by Cambridge University Press:  12 July 2007

Jean-François Coulombel  and
Paolo Secchi
Jean-François Coulombel
Affiliation:
CNRS and Laboratoire Paul Painlevé, Bâtiment M2, Cité Scientifique, 59655 Villeneuve d'Ascq Cedex, France (jfcoulom@math.univ-lille1.fr)
Paolo Secchi
Affiliation:
Dipartimento di Matematica, Facoltà di Ingegneria, Via Valotti 9, 25123 Brescia, Italy (paolo.secchi@ing.unibs.it)
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Abstract

We study the linear stability of a vortex sheet in a limit case that corresponds to a transition between a weakly stable regime and a violently unstable regime. We prove an energy estimate that reflects the high degeneracy of the uniform Kreiss–Lopatinskii condition.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 5 , October 2004 , pp. 885 - 892
Copyright
Copyright © Royal Society of Edinburgh 2004

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