School of Mathematical Sciences Academic Report [2025] 053  

(High-Level University Construction Series Report No. 1075)  

Lecture Title: On the Quantum Boltzmann Equation: Global Well-Posedness and Semi-Classical Limit  

Speaker: Assoc. Prof. Yulong Zhou (Sun Yat-sen University)  

Date & Time: 9:30 AM – 10:30 AM, June 22, 2025  

Venue: Classroom No. 4, Convergence Stars Building  

Abstract:  The quantum Boltzmann equation can be derived from a large system of particles via the weak-coupling limit. In this talk, we first consider the global well-posedness of the Cauchy problem in a periodic box near equilibrium. We then discuss the semi-classical limit, transitioning from the quantum Boltzmann equation to the Fokker-Planck-Landau equation. This talk is based on a series of joint works with Prof. Ling-Bing He, Prof. Xuguang Lu, Prof. Mario Pulvirenti and Prof. Tong Yang.  

Biography: Yulong Zhou, Associate Professor at Sun Yat-sen University, specializes in kinetic theory including the Boltzmann and Landau equations. His research has been published in Commun. Math. Phys., Arch. Ration. Mech. Anal., Adv. Math., Math. Ann., Ann. Inst. H. Poincaré Anal. Non Linéaire, J. Funct. Anal., SIAM J. Math. Anal., and SIAM J. Control Optim. He currently leads the NSFC Key R&D Program Young Scientist Project in Mathematics and Applied Research and an NSFC General Program, having completed an NSFC Youth Program.  

All faculty and students are welcome to attend!  

Invited by: School of Mathematical Sciences  

School of Mathematical Sciences  

June 22, 2025