Published September 14, 2015 | Submitted
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On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations

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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.

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.

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August 20, 2023
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