Illposedness of the \alpha-SQG Patch Problem
Time: 2023-09-12
Published By: Wenqiong Li
Speaker(s): Xiaoyutao Luo (Morningside Center of Mathematics, Chinese Academy of Sciences)
Time: 16:00-17:00 September 25, 2023
Venue: Room 29, Quan Zhai, BICMR
The \alpha-SQG equation is a family of inviscid models interpolating the 2D Euler and SQG. We will discuss the patch dynamics of the model and show that in a suitable regime of regularity, the patch problem is ill-posed in non-L^2 Sobolev spaces and Holder spaces.
