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Variants of Arnold's Stability Results for 2D Euler Equations

Published online by Cambridge University Press:  20 November 2018

Michael Taylor
Michael Taylor*
Affiliation:
Mathematics Department, University of North Carolina, Chapel Hill, NC 27599, USA e-mail: [email protected]
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Abstract

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We establish variants of stability estimates in norms somewhat stronger than the ${{H}^{1}}$-norm under Arnold's stability hypotheses on steady solutions to the Euler equations for fluid flow on planar domains.

Keywords

35Q35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 1 , 01 March 2010 , pp. 163 - 170
Copyright
Copyright © Canadian Mathematical Society 2010

References

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