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
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