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.

4月14日
9:00am - 10:00am
地點
https://hkust.zoom.us/j/91042759581 (Passcode: 154270)
講者/表演者
Prof. Tai-Peng TSAI
University of British Columbia
主辦單位
Department of Mathematics
聯絡方法
付款詳情
對象
Alumni, Faculty and staff, PG students, UG students
語言
英語
其他活動
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IAS / School of Science Joint Lecture - Some Theorems in the Representation Theory of Classical Lie Groups
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