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NONLINEAR ORBITAL STABILITY FOR PLANAR VORTEX PATCHES.
- Source :
-
Proceedings of the American Mathematical Society . Feb2019, Vol. 147 Issue 2, p775-784. 10p. - Publication Year :
- 2019
-
Abstract
- In this paper, we prove nonlinear orbital stability for steady vortex patches that maximize the kinetic energy among isovortical rearrangements in a planar bounded domain. As a result, nonlinear stability for an isolated vortex patch is proved. The proof is based on conservation of energy and vorticity, which is an analogue of the classical Liapunov function method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 147
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 133902300
- Full Text :
- https://doi.org/10.1090/proc/14077