Enstropy Generation and Regularity of Solutions to the 3D Navier-Stokes Equations View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2008

AUTHORS

Charles R. Doering , Lu Lu

ABSTRACT

The question of existence of smooth solutions to the 3D Navier-Stokes equations is an outstanding open problem in applied mathematics and theoretical physics. It is known that solutions remain smooth as long as the enstrophy remains finite, but it is not known whether or not the enstrophy may diverge to infinity at some finite time. In this paper we report that the state-of-the-art mathematical estimates on the growth rate of enstrophy—estimates that do not rule out the existence of a finite-time singularity—are sharp and cannot be improved. More... »

PAGES

47-48

Book

TITLE

IUTAM Symposium on Computational Physics and New Perspectives in Turbulence

ISBN

978-1-4020-6471-5
978-1-4020-6472-2

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-1-4020-6472-2_6

DOI

http://dx.doi.org/10.1007/978-1-4020-6472-2_6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1028856484


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