Remarks on the breakdown of smooth solutions for the 3-D Euler equations View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1984-03

AUTHORS

J. T. Beale, T. Kato, A. Majda

ABSTRACT

The authors prove that the maximum norm of the vorticity controls the breakdown of smooth solutions of the 3-D Euler equations. In other words, if a solution of the Euler equations is initially smooth and loses its regularity at some later time, then the maximum vorticity necessarily grows without bound as the critical time approaches; equivalently, if the vorticity remains bounded, a smooth solution persists. More... »

PAGES

61-66

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01212349

DOI

http://dx.doi.org/10.1007/bf01212349

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1038298888


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