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

Olivier Guès | Zendy; Guy Métivier | Zendy; Mark Williams | Zendy; Kevin Zumbrun | Zendy

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

Author(s) -

Olivier Guès,

Guy Métivier,

Mark Williams,

Kevin Zumbrun

Publication year - 2004

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2004.11.131

Subject(s) - limit (mathematics) , stability (learning theory) , boundary layer , viscosity , viscous liquid , mechanics , physics , boundary (topology) , planar , classical mechanics , mathematical analysis , mathematics , computer science , thermodynamics , computer graphics (images) , machine learning

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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