Growth rates for axisymmetric Euler flows
数学专题报告
报告题目(Title)：Growth rates for axisymmetric Euler flows
报告人(Speaker)：Tai-Peng Tsai (University of British Columbia)
地点(Place)：Zoom ID: 910 4275 9581, Passcode: 154270
时间(Time)：2023 年 4月 14 日(周五), 9：00-10：00
邀请人(Inviter)：熊金钢
报告摘要
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.
* This PDE seminar is co-organized with Tianling Jin at The Hong Kong University of Science and Technology. See the seminar webpage: https://www.math.hkust.edu.hk/~tianlingjin/PDEseminar.html
