珠海数学杰出学者讲座第47讲-Navier-Stokes equations on the generalized phase spaces

讲座题目：Navier-Stokes equations on the generalized phase spaces
讲座时间 Datetime: 2025年4月4日，周五，15:00-16:00
地点 Venue: 腾讯会议474-275-831
主持人 Host：黄天骁 副教授
报告人 Speaker: 洪桂祥 教授
单位 Affiliation: 哈尔滨工业大学
报告摘要 Abstract:
The noncommutative partial differential equations, such as the time-dependent Bogoliubov-de Gennes (BdG) equation, sometimes referred to as the generalized Hartree–Fock equation or the Hartree–Fock–Bogoliubov equation, have arisen naturally in the theory of effective evolution equations. Recently, there have appeared a lot of works in this direction such as noncommutative Burgers equations, quantum Laplace equations, quantum Fokke-Planck equations, noncommutative Schrodinger equations, and quantum wave equations etc.. However, the Lp theory has not been implemented successfully in most of the previously mentioned work; this is due to the fact that the Lp theory is the core of noncommutative analysis which has been neglected by the PDE community. In this talk, I shall present the study of the Navier-Stokes equation on the phase spaces by developing the noncommutative analysis techniques. This is based on joint work with Deyu Chen,Liang Wang and Wenhua Wang.
报告人简介：
洪桂祥，哈尔滨工业大学教授，2016年入选国家高层次人才青年计划，2023年获批国家JQ基金项目；从事调和分析、非交换分析及其在非交换几何与量子信息中的应用方面的研究，为这一新兴领域的建立与发展做出卓越贡献；近40余篇论文发表于Duke Math. J., Memoirs AMS, Adv. Math., CMP(3篇), PTRF, Math. Ann. (2篇) , IMRN (3篇), Revista Iber. Mate., Anal. PDE, JFA (8篇), Math. Z, JLMS, 与Israel J. Math.等杂志；被Wolf奖获得主Elias M. Stein、非交换鞅论奠基人许全华与Marius Junge、国际数学家大会 45分钟报告人Tuomas Hytönen、澳大利亚科学院院士Fedor Sukochev等人多次引用和评价为 “突破”、“开创性工作”、“真正巨大的贡献”等。