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On the breakdown of axisymmetric smooth solutions for the 3-D Euler equations.
- Source :
- Communications in Mathematical Physics; 1996, Vol. 178 Issue 2, p391-398, 8p
- Publication Year :
- 1996
-
Abstract
- We refine the Beale-Kato-Majda criterion for the breakdown of smooth solutions of the 3-D incompressible Euler equations in the case of axisymmetry. In this case the angular component of vorticity in the cylindrical coordinates alone controls blow-up of the higher Sobolev norms of the velocity. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00103616
- Volume :
- 178
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Communications in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 70646459
- Full Text :
- https://doi.org/10.1007/BF02099454