报告题目：Limiting Behavior of Mass Subcritical Fermi Systems with Coulomb Potential

报 告 人：郭玉劲 教授 （华中师范大学）

报告时间：2025年6月7日（星期六）10:00- 11:00

报告地点：数学科学学院111A  

校内联系人： 刘浏 教授   联系方式：84708351-8616

报告摘要：It is known that almost all elementary quantum many-body particles in nature are divided fundamentally into two classes in terms of the spin quantum numbers, which are called bosons and fermions. Variational problems of quantum bosons have been investigated widely over the past few decades. In this talk we focus on variational problems of mass subcritical quantum Fermi systems with interactions. The existence of minimizers is discussed in terms of the strengthen for the system's interactions, based on which we further investigate the limiting behavior of minimizers.

报告人简介：郭玉劲，华中师范大学数学与统计学学教授，博士生导师 国家杰青及国家优青获得者、中国科学院“百人计划”（优秀）入选者。主要研究变分理论及其在偏微分方程、数学物理等领域的应用，研究成果曾获得湖北省自然科学二等奖。先后在微机电系统MEMS方程、质量临界约束变分理论、量子多体系统分析等方面做出过一系列科研成果。在美国数学会出版一部英文研究专著【Courant Lecture Notes in Math. 20】，在Comm. Pure Appl. Math.、Arch. Ration. Mech. Anal.、Trans. Amer. Math. Soc.、J. Math. Pures Appl.、Ann. Inst. H. Poincaré Anal. Non Linéaire、Proc. Royal Soc. London Ser. A、SIAM J. Math. Anal.、Nonlinearity、J. Funct. Anal.、JDE、CVPDE等数学期刊上发表近50篇学术论文。