报告题目：Topics on the relativistic quantum hydrodynamic system

报 告 人：段犇 教授（吉林大学）

报告时间：2026年1月5日（星期一）10:30—11:30

报告地点：数学科学学院114（小报告厅）

校内联系人：曹杨 教授     联系方式：84708351-8316

报告摘要：In this talk, we will introduce the relativistic quantum hydrodynamics (RQHD) system derived from the Klein-Gordon equation with Poisson coupling, and highlight its natural setting on the Heisenberg group, where the noncommutative structure encodes quantum commutation relations. We briefly outline the local existence of classical solutions to the Cauchy problem. This framework provides a unified perspective on singular limits, including the nonrelativistic and semiclassical regimes. We conclude with future directions, focusing on quantitative limiting processes and related analytical developments.

报告人简介：段犇，吉林大学数学学院教授，博士生导师。主要从事偏微分方程领域中守恒律方程组的研究工作，主要研究的课题包括流体动力学及其相关方程组的适定性问题、管道流体问题、跨音速激波等问题。发表多篇高水平学术论文，收录在Arch. Ration. Mech. Anal. 、SIAM J. Math. Anal.、J. Differential Equations等知名学术期刊。