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arXiv:math/0203230 [math.AP]AbstractReferencesReviewsResources

On classes of globally smooth solutions to the Euler equations in several dimensions

Olga S. Rozanova

Published 2002-03-22, updated 2002-04-03Version 2

It is shown that if the system of the Euler equations has a special global in time smooth solution with the linear profile of velocity, then another solutions with Cauchy data, close in the Sobolev norm to the initial data of the given solution, will be globally smooth as well. The examples of the solutions are constructed.

Comments: 20 pages
Categories: math.AP, math-ph, math.MP
Subjects: 35L60, 35L65
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