Published March 15, 2016
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On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations
Abstract
In connection with the recent proposal for possible singularity formation at the boundary for solutions of 3d axi-symmetric incompressible Euler's equations (Luo and Hou, 2013), we study models for the dynamics at the boundary and show that they exhibit a finite-time blow-up from smooth data.
Additional Information
KC has been partially supported by the NSF FRG Grant DMS-1159133. TH and GL have been partially supported by the NSF FRG Grant DMS-1159138 and the DOE Grant DE-FG02-06ER25727. AK has been partially supported by the NSF-DMS Grants 1412023 and 1535653, and he also acknowledges support from the Guggenheim Fellowship. VS has been partially supported by the NSF-DMS Grants 1101428 and 1159376. YY has been partially supported by the NSF-DMS Grants 1104415, 1159133 and 1411857.Attached Files
Submitted - 1407.4776.pdf
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Additional details
- Eprint ID
- 65365
- Resolver ID
- CaltechAUTHORS:20160315-123826115
- DMS-1159133
- NSF
- DMS-1159138
- NSF
- DE-FG02-06ER25727
- Department of Energy (DOE)
- DMS-1412023
- NSF
- DMS-1535653
- NSF
- John Simon Guggenheim Foundation
- DMS-1101428
- NSF
- DMS-1159376
- NSF
- DMS-1104415
- NSF
- DMS-1159133
- NSF
- DMS-1411857
- NSF
- Created
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2016-03-15Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field