bob电子竞技:分析与偏微分方程讨论班——Steady Contiguous Vortex-Patch Dipole Solutions of the 2D Incompressible Euler Equation
来源：bob电子竞技
发布时间：2024-08-28
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报告人：童嘉骏（北京大学）
时间：2024年8月28日，15:00-16:00
地点：海纳苑2幢205室
摘要：It is of great mathematical and physical interest to study traveling wave solutions to the 2D incompressible Euler equation in the form of a touching pair of symmetric vortex patches with opposite signs. Such a solution was numerically illustrated by Sadovskii in 1971, but its rigorous existence was left as an open problem. In this talk, we will rigorously construct such a solution by a novel fixed-point approach that determines the patch boundary as a fixed point of a nonlinear map. Smoothness and other properties of the patch boundary will also be characterized. This is a joint work with De Huang.
联系人：王伟（wangw07@zju.edu.cn）