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Mar 11 2024

Analysis and Applied Mathematics Seminar: Non-unique weak solutions of forced SQG, by Qirui Peng

March 11, 2024

4:00 PM - 4:50 PM

Location

636 SEO

Address

Chicago, IL

Qirui Peng (University of Illinois Chicago): Non-unique weak solutions of forced SQG

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). Please click here to make changes to, or delete, this seminar announcement.

Contact

Christof Sparber

Date posted

Mar 3, 2024

Date updated

Mar 3, 2024

Speakers