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On the breakdown of axisymmetric smooth solutions for the 3-D Euler equations
- Issue Date
- May-1996
- Publisher
- SPRINGER VERLAG
- Citation
- COMMUNICATIONS IN MATHEMATICAL PHYSICS, v.178, no.2, pp 391 - 398
- Pages
- 8
- Journal Title
- COMMUNICATIONS IN MATHEMATICAL PHYSICS
- Volume
- 178
- Number
- 2
- Start Page
- 391
- End Page
- 398
- ISSN
- 0010-3616
1432-0916
- 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.
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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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