中科院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

偏微分方程研讨班

Speaker: 刘彦麟 副教授（北京师范大学）

Inviter: 张平 院士

Language: Chinese

Title：Uniqueness of 2-D Euler equations for bounded and m-fold symmetric vorticity （II）

Time&Venue：2025年10月25日 (星期六) 15:00-17:00&晨兴410

Abstract: In this series of talks, we consider 2-D Euler equations with initial voriticy to be only bounded and m-fold symmetric for some m not less than 3. We prove that there exists a unique global solution with vorticity to be bounded and m-fold symmetric, and the velocity is determined by the principal value version of the Biot-Savart law. This is based on the work by T. Elgindi and I.-J. Jeong.