NONLINEAR INSTABILITY IN AN IDEAL FLUID

Authors
FRIEDLANDER S STRAUSS W VISHIK M
Citation
S. Friedlander et al., NONLINEAR INSTABILITY IN AN IDEAL FLUID, Annales de l Institut Henri Poincare. Analyse non lineaire, 14(2), 1997, pp. 187-209
Citations number
24
Categorie Soggetti
Mathematics,Mathematics
Journal title
Annales de l Institut Henri Poincare. Analyse non lineaire → ACNP
ISSN journal
02941449
Volume
14
Issue
2
Year of publication
1997
Pages
187 - 209
Database
ISI
SICI code
0294-1449(1997)14:2<187:NIIAIF>2.0.ZU;2-J
Abstract
Linearized instability implies nonlinear instability under certain rat her general conditions. This abstract theorem is applied to the Euler equations governing the motion of an inviscid fluid. In particular thi s theorem applies to all 2D space periodic flows without stagnation po ints as well as 2D space-periodic shear flows.