学术报告报告主题: An explicit coercivity estimate of the linearized quantum Boltzmann operator without angular cutoff
报 告 人: 周玉龙副教授（中山大学）
报告时间: 2024年1月12日（星期五）上午10:00-11:00
报告地点: 清清文理楼3A02
邀 请 人: 周富军教授
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数学学院
2024年 1月9日
报告摘要：
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.
报告人介绍：
周玉龙，中山大学副教授，主要从事动理学方程的理论研究，包括Boltzmann方程和Landau方程，研究成果发表在Adv. Math.、Arch. Ration. Mech. Anal.、Ann. Inst. H. Poincaré Anal. Non Linéaire、J. Funct. Anal.、SIAM J. Math. Anal.、SIAM J. Control Optim. 等期刊上。