location:  Publications → journals → CMB
Abstract view

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

Published:2009-12-04
Printed: Mar 2010
• Michael Taylor
 Format: HTML LaTeX MathJax

## 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