Speaker: Prof. Xuwen Chen (University of Rochester)Time: 15:30-16:30 March 22, 2023 (Wednesday)
Place: MCM110 & Online (Zoom ID: 4663562952 Password: mcm1234)
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.
