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arXiv:1404.3404 [math.AP]AbstractReferencesReviewsResources

A characterization at infinity of bounded vorticity, bounded velocity solutions to the 2D Euler equations

James P Kelliher

Published 2014-04-13, updated 2014-04-21Version 2

We characterize the possible behaviors at infinity of weak solutions to the 2D Euler equations in the full plane having bounded velocity and bounded vorticity. We show that any such solution can be put in the form obtained by Ph. Serfati in 1995 after a suitable change of reference frame. Our results build on those of a recent paper of the author's, joint with Ambrose, Lopes Filho, and Nussenzveig Lopes.

Comments: Corrected the pressure-based uniqueness criteria in Theorem 2.9 and added more complete description of relationship to work of Jun Kato
Categories: math.AP, math-ph, math.MP
Subjects: 76B03
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