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On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations

Choi, Kyudong and Hou, Thomas Y. and Kiselev, Alexander and Luo, Guo and Sverak, Vladimir and Yao, Yao (2015) On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20160315-123826115

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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.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1407.4776arXivDiscussion Paper
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.
Funders:
Funding AgencyGrant Number
NSFDMS-1159133
NSFDMS-1159138
Department of Energy (DOE)DE-FG02-06ER25727
NSFDMS-1412023
NSFDMS-1535653
John Simon Guggenheim FoundationUNSPECIFIED
NSFDMS-1101428
NSFDMS-1159376
NSFDMS-1104415
NSFDMS-1159133
NSFDMS-1411857
Classification Code:2010 Mathematics Subject Classification: Primary 76B03, 35Q35, 35B44; Secondary 35Q31
Record Number:CaltechAUTHORS:20160315-123826115
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160315-123826115
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:65365
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 Mar 2016 20:01
Last Modified:03 Oct 2019 09:46

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