# American Institute of Mathematical Sciences

January  2004, 11(1): 131-160. doi: 10.3934/dcds.2004.11.131

## 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, France 2 MAB, Université Bordeaux I, 351 Cours de la Libération, 33405 Talence Cedex, France 3 Department of Mathematics, CB 3250, UNC Chapel Hill, NC 27599, United States 4 Mathematics Department, Indiana University, Bloomington, IN 47405

Received  December 2002 Revised  November 2003 Published  April 2004

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.
Citation: O. Guès, G. Métivier, M. Williams, K. Zumbrun. Boundary layer and long time stability for multi-D viscous shocks. Discrete & Continuous Dynamical Systems - A, 2004, 11 (1) : 131-160. doi: 10.3934/dcds.2004.11.131
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