Published 2005
| Submitted
Journal Article
Open
Geometric Properties and Nonblowup of 3D Incompressible Euler Flow
- Creators
- Deng, Jian
- Hou, Thomas Y.
- Yu, Xinwei
Chicago
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Abstract
By exploring a local geometric property of the vorticity field along a vortex filament, we establish a sharp relationship between the geometric properties of the vorticity field and the maximum vortex stretching. This new understanding leads to an improved result of the global existence of the 3D Euler equation under mild assumptions.
Additional Information
© 2005 Taylor & Francis, Inc. Received January 2004; Accepted August 2004. This work was supported in part by the NSF under the NSF FRG grant DMS-0353838 and ITR Grant ACI-0204932. The authors would like to thank the referee and Prof. R. M. Kerr for their helpful comments on the original version of the manuscript.Attached Files
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Additional details
- Alternative title
- Geometric properties and non-blowup of 3-D incompressible Euler flow
- Eprint ID
- 65571
- Resolver ID
- CaltechAUTHORS:20160322-075428588
- NSF
- DMS-0353838
- NSF
- ACI-0204932
- Created
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2016-03-22Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field