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Variants of Arnold's Stability Results for 2D Euler Equations |
Canad. Math. Bull. 53(2010), 163-170
Published:2009-12-04
Printed: Mar 2010
Printed: Mar 2010
- Michael Taylor
Abstract
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.
| MSC Classifications: | 35Q35 - PDEs in connection with fluid mechanics |