Boundary layers of 2D inviscid fluids from a Hamiltonian viewpoint

Authors
Citation
E. Grenier, Boundary layers of 2D inviscid fluids from a Hamiltonian viewpoint, MATH RES LE, 6(3-4), 1999, pp. 257-269
Citations number
12
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL RESEARCH LETTERS
ISSN journal
10732780 → ACNP
Volume
6
Issue
3-4
Year of publication
1999
Pages
257 - 269
Database
ISI
SICI code
1073-2780(199905/07)6:3-4<257:BLO2IF>2.0.ZU;2-N
Abstract
In this paper we study how the modulation of Lyapounov functionnals of Hami ltonian systems leads to nontrivial norms which can be used to investigate the linear and nonlinear stability of boundary layers. We apply this method to Euler equations of incompressible and compressible ideal fluids in 2D.