Preprint 2003-020

The stability of compressible vortex sheets in two space dimensions

Jean-Francois Coulombel, Paolo Secchi

Abstract: We study the linear stability of planar compressible vortex sheets in two space dimensions. Under a supersonic condition that precludes violent instabilities, we prove an energy estimate for the linearized boundary value problem. Since the problem is characteristic, the estimate we prove exhibits a loss of control on the trace of the solution. Furthermore, the failure of the uniform Kreiss-Lopatinskii condition yields a loss of derivatives in the energy estimate.



Paper:
Available as PostScript (304 Kbytes) or gzipped PostScript (112 Kbytes; uncompress using gunzip).
Author(s):
Jean-Francois Coulombel, <jfcoulom@umpa.ens-lyon.fr>
Paolo Secchi, <secchi@ing.unibs.it>
Publishing information:
Comments:
Submitted by:
<jfcoulom@umpa.ens-lyon.fr> March 8 2003.


[ 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | All Preprints | Preprint Server Homepage ]
© The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server <conservation@math.ntnu.no>
2003-03-11 16:47:31 UTC