We consider axisymmetric, swirl-free solutions of the Euler equations in three and higher dimensions, of generalized anti-parallel-vortex-tube-pair-type: the initial scalar vorticity has a sign in the half-space, is odd under reflection across the plane, is bounded and decays sufficiently rapidly at the axis and at spatial infinity. We prove lower bounds on the growth of such solutions in all dimensions, improving a lower bound proved by Choi and Jeong in three dimensions. This is based on joint work with Stephen Gustafson and Evan Miller, arXiv:2303.12043.

14 Apr 2023
9am - 10am
Where
https://hkust.zoom.us/j/91042759581 (Passcode: 154270)
Speakers/Performers
Prof. Tai-Peng TSAI
University of British Columbia
Organizer(S)
Department of Mathematics
Contact/Enquiries
Payment Details
Audience
Alumni, Faculty and staff, PG students, UG students
Language(s)
English
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