CaltechAUTHORS
Published September 14, 2015 | Version Submitted
Discussion Paper Open

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

Creators

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

Identifiers

Eprint ID
65365
Resolver ID
CaltechAUTHORS:20160315-123826115

Related works

Describes
http://arxiv.org/abs/1407.4776 (URL)

Funding

NSF
DMS-1159133
NSF
DMS-1159138
Department of Energy (DOE)
DE-FG02-06ER25727
NSF
DMS-1412023
NSF
DMS-1535653
John Simon Guggenheim Foundation
NSF
DMS-1101428
NSF
DMS-1159376
NSF
DMS-1104415
NSF
DMS-1159133
NSF
DMS-1411857

Dates

Created
2016-03-15
Created from EPrint's datestamp field
Updated
2023-06-02
Created from EPrint's last_modified field