Published 1986
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Nonlinear stability of the Kelvin-Stuart cat's eyes flow
Abstract
Conditions which ensure the nonlinear stability of the Kelvin-Stuart cat's eyes solution for two dimensional ideal flow are given. The solution is periodic in the x direction and is bounded by two streamlines, which contain the separatrix, in the y-direction. The stability conditions are given explicitly in terms of the solution parameters and the domain size. The method is based on a technique originally developed by Arnold [1969].
Additional Information
© 1986 American Mathematical Society. Partially supported by DOE contract DE-AT03-32ER12097. Partially supported by and KSF postdoctoral fellowship. We thank John Gibbon for suggesting this problem and Jerry Kazdan for useful conversations about the Poincare inequality. We also thank George Nickel for making the figures.Attached Files
Published - HoMaRa1986_2_.pdf
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Additional details
- Eprint ID
- 19406
- Resolver ID
- CaltechAUTHORS:20100812-082932155
- CE-AT03-3lER12097
- Department of Energy
- NSF Postdoctoral Fellowship
- Created
-
2010-08-13Created from EPrint's datestamp field
- Updated
-
2020-03-09Created from EPrint's last_modified field
- Series Name
- Lectures in Applied Mathematics
- Series Volume or Issue Number
- 23