Department of Mathematics - Seminar on PDE - Growth rates for axisymmetric Euler flows

9:00am - 10:00am
https://hkust.zoom.us/j/91042759581 (Passcode: 154270)

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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.

讲者/ 表演者:
Prof. Tai-Peng TSAI
University of British Columbia
语言
英文
适合对象
校友
教职员
研究生
本科生
主办单位
数学系
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