Published November 2017
| Submitted
Journal Article
Open
On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations
Chicago
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Abstract
In connection with the recent proposal for possible singularity formation at the boundary for solutions of three-dimensional axisymmetric incompressible Euler's equations (Luo and Hou, Proc. Natl. Acad. Sci. USA (2014)), we study models for the dynamics at the boundary and show that they exhibit a finite-time blowup from smooth data.
Additional Information
© 2017 Wiley Periodicals, Inc. Issue online: 15 September 2017; Version of record online: 3 May 2017; Manuscript Received: February 2016. KC has been partially supported by NSF FRG Grant DMS- 1159133. TH and GL have been partially supported by NSF Grants DMS-1613861 and DMS-1318377. AK has been partially supported by NSF-DMS Grants 1412023 and 1535653, and he also acknowledges support from a Guggenheim fellowship. VS has been partially supported by NSF-DMS Grants 1159376 and 1362467. YY has been partially supported by NSF-DMS Grants 1104415, 1159133, and 1411857.Attached Files
Submitted - 1407.4776
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Additional details
- Alternative title
- On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations
- Eprint ID
- 77284
- DOI
- 10.1002/cpa.21697
- Resolver ID
- CaltechAUTHORS:20170509-075902405
- NSF
- DMS-1159133
- NSF
- DMS-1613861
- NSF
- DMS-1318377
- NSF
- DMS-1412023
- NSF
- DMS-1535653
- John Simon Guggenheim Foundation
- NSF
- DMS-1159376
- NSF
- DMS-1362467
- NSF
- DMS-1104415
- NSF
- DMS-1159133
- NSF
- DMS-1411857
- Created
-
2017-05-09Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field