## Analysis and Applied Mathematics Seminar

Qirui Peng

University of Illinois Chicago

Non-unique weak solutions of forced SQG

**Abstract:**We construct non-unique weak solutions $\theta \in C^0_t C^{0-}_x$ for forced surface quasi-geostrophic (SQG) equations. This is achieved through a convex integration scheme adapted to the sum-difference system of two distinct solutions. Without external forcing, non-unique weak solutions $\theta$ in space $C^0_t C^\alpha_x$ with $\alpha < -1/5$ were constructed by Buckmaster, Shkoller and Vicol (2019) and Isett and Ma (2021).

Monday March 11, 2024 at 4:00 PM in 636 SEO