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.
活動形式
講者/ 表演者:
Prof. Tai-Peng TSAI
University of British Columbia
語言
英文
適合對象
校友
教職員
研究生
本科生
主辦單位
數學系