Boundary layer and long time stability for multi-D viscous shocks

O. Guès; G. Métivier; M. Williams; K. Zumbrun

doi:10.3934/dcds.2004.11.131

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2004, Volume 11, Issue 1: 131-160. Doi: 10.3934/dcds.2004.11.131

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Boundary layer and long time stability for multi-D viscous shocks

1.
LATP, Univ. Aix-Marseille 1, 39 rue F. Joliot-Curie, 13453 Marseille cedex 13
2.
MAB, Université Bordeaux I, 351 Cours de la Libération, 33405 Talence Cedex
3.
Department of Mathematics, CB 3250, UNC Chapel Hill, NC 27599
4.
Mathematics Department, Indiana University, Bloomington, IN 47405

Received: November 30, 2002

Revised: October 31, 2003

Published: December 2003

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Abstract

This is an expository paper whose goal is to provide a detailed survey without the full technicalities of the methods used recently in [GMWZ1, GMWZ2] to prove the existence of curved multi-D viscous shocks, to rigorously justify the small viscosity limit, and to prove long time stability of multidimensional planar viscous shocks.

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Mathematics Subject Classification: 35K50, 35L50, 35L67.

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