Title:  An explicit coercivity estimate of the linearized quantum Boltzmann operator without angular cutoff

Speaker: Professor Yulong Zhou

Time: Friday, January 12, 2024, AM: 10:00-11:00 

Venue: Room 3A02, Building No. 37, Wushan Campus

Abstract: The quantum Boltzmann-Bose equation describes a large system of Bose-Einstein particles in the weak-coupling regime. If the particle interaction is governed by the inverse power law, the corresponding collision kernel has angular singularity. In this talk, we will discuss a constructive proof of the coercivity estimate for the linearized quantum Boltzmann-Bose operator to capture the effects of the singularity and the fugacity. Precisely, the estimate explicitly reveals the dependence on the fugacity parameter before the Bose-Einstein condensation. With the coercivity estimate, the global in time well-posedness of the inhomogeneous quantum Boltzmann-Bose equation in the perturbative framework and stability of the Bose-Einstein equilibrium can be established. This is joint work with Prof. Tong Yang.