Speaker: Prof. Shanwen Wang (Renmin University of China)

Time: 14:00-15:30,  March 20, 2023 (Monday)

Place: MCM110 & Online (Zoom ID: 4663562952  Password: mcm1234)

Title: Prismatization over k

Abstract: Discuss [Bha, §3.1-3.3]. Please cover §3.1 and §3.3. You can recall/admit materials in §3.2 for some discussions in §3.3.

This is a periodic series learning seminar organized by Koji Shimizu and Shizhang Li on on prismatic F-gauges  held on each Monday at MCM110. More info can be found on the website.

Speaker: Prof. Xuwen Chen (University of Rochester) 

Time: 15:30-16:30,  March 22, 2023 (Wednesday)

Place: MCM110 & Online (Zoom ID: 4663562952  Password: mcm1234)

Inviter: Prof. Qingtang Su (MCM)

Title: Well/ill-posedness bifurcation for the Boltzmann equation

Abstract: We study the well/ill-posedness of the Boltzmann equation with dispersive methods. We take the constant collision kernel case as the 1st example. We construct a family of special solutions, which are neither near equilibrium nor self-similar, and prove the ill-posedness in H^s Sobolev space for s<1, despite the fact that the equation is scale invariant at s=1/2. Combining with the previous work, we have found that exact well/ill-posedness threshold.