报告题目：Steady Contiguous Vortex-Patch Dipole Solutions of the 2D Incompressible Euler Equation

报告人：童嘉骏，北京大学北京国际数学研究中心

报告时间：2024年11月15日（周五）10:00-11:00

报告地点：20-200

报告摘要：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 based on a joint work with De Huang.

报告人简介：童嘉骏，北京大学北京国际数学研究中心助理教授，研究方向为偏微分方程与应用分析，特别是流固耦合问题、流体方程、演化自由边界问题等，已在Comm. Pure Appl. Math., Ann. PDE., Comm. Math. Phys., Arch. Ration. Mech. Anal.等国际知名期刊发表论文十余篇。