NONLINEAR STABILITY FOR SADDLE SOLUTIONS OF IDEAL FLOWS AND SYMMETRY-BREAKING

Authors
WOLANSKY G GHIL M
Citation
G. Wolansky et M. Ghil, NONLINEAR STABILITY FOR SADDLE SOLUTIONS OF IDEAL FLOWS AND SYMMETRY-BREAKING, Communications in Mathematical Physics, 193(3), 1998, pp. 713-736
Citations number
29
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
193
Issue
3
Year of publication
1998
Pages
713 - 736
Database
ISI
SICI code
0010-3616(1998)193:3<713:NSFSSO>2.0.ZU;2-V
Abstract
In this paper we generalize Arnol'd's method for nonlinear stability o f the two-dimensional, incompressible Euler equation's stationary solu tions. The method is extended so as to apply for saddle solutions, whi ch include many cases of practical interest, in particular the case of solutions which do not share the symmetry of the domain. The extensio n is made possible by our technique of supporting functionals and the use of additional flow invariants.