Nonexistence for SQG in critical Sobolev spaces
数学专题报告
报告题目(Title)：Nonexistence for SQG in critical Sobolev spaces
报告人(Speaker)：Junha Kim (Ajou University, South Korea)
地点(Place)：Zoom meeting ID：838 492 04356, Password：123456 , Link: https://us02web.zoom.us/j/83849204356
时间(Time)：2025 年 07 月 04 日（周五） 15:00--16:00
邀请人(Inviter)：薛留堂
报告摘要
In this talk, we prove that the inviscid surface quasi-geostrophic (SQG) equation is strongly ill-posed in critical Sobolev spaces: there exists an initial data $H^2(\mathbb{R}^2)$ without any solutions in $L^{\infty}_tH^2$. Then, we introduce similar ill-posedness results for $\alpha$-SQG and two-dimensional incompressible Euler equations. This talk is based on joint works with In-Jee Jeong(SNU), Young-Pil Choi(Yonsei Univ.), Jinwook Jung(Hanyang Univ.), and Min Jun Jo(Duke Univ.).
