Speaker: 童嘉骏 研究员，北京大学北京国际数学研究中心
Inviter: 秦国林 副研究员
Title: Steady Contiguous Vortex-Patch Dipole Solutions of the 2D Incompressible Euler Equation
Time & Venue: 2025.7.2 10:30-11:30 南楼613
Abstract: 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 based on a joint work with De Huang.
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