Stability of one-dimensional boundary layers by using Green's functions

Authors
Grenier, E Rousset, F
Citation
E. Grenier et F. Rousset, Stability of one-dimensional boundary layers by using Green's functions, COM PA MATH, 54(11), 2001, pp. 1343-1385
Citations number
26
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
ISSN journal
00103640 → ACNP
Volume
54
Issue
11
Year of publication
2001
Pages
1343 - 1385
Database
ISI
SICI code
0010-3640(200111)54:11<1343:SOOBLB>2.0.ZU;2-U
Abstract
The aim of this paper is to investigate the stability of one-dimensional bo undary layers of parabolic systems as the viscosity goes to 0 in the noncha racteristic case and, more precisely, to prove that spectral stability impl ies linear and nonlinear stability of approximate solutions. In particular, we replace the smallness condition obtained by the energy method [10, 13] by a weaker spectral condition. (C) 2001 John Wiley & Sons, Inc.