ON THE BREAKDOWN OF AXISYMMETRICAL SMOOTH SOLUTIONS FOR THE 3-D EULEREQUATIONS

Authors
CHAE DH KIM N
Citation
Dh. Chae et N. Kim, ON THE BREAKDOWN OF AXISYMMETRICAL SMOOTH SOLUTIONS FOR THE 3-D EULEREQUATIONS, Communications in Mathematical Physics, 178(2), 1996, pp. 391-398
Citations number
6
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
178
Issue
2
Year of publication
1996
Pages
391 - 398
Database
ISI
SICI code
0010-3616(1996)178:2<391:OTBOAS>2.0.ZU;2-Z
Abstract
We refine the Beale-Kato-Majda criterion for the breakdown of smooth s olutions of the 3-D incompressible Euler equations in the case of axis ymmetry. In this case the angular component of vorticity in the cylind rical coordinates alone controls blow-up of the higher Sobolev norms o f the velocity.