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

Published:2009-12-04
Printed: Mar 2010
• Michael Taylor
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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