报告人：洪桂祥 （哈尔滨工业大学 教授）
报告时间：2025年1月9日(周四) 10:00-12:00
报告地点：章辉楼442
联系人：王保祥教授
欢迎广大师生参加！
报告摘要：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, we 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年获批国家杰出青年基金项目；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；相关30余篇论文发表于Duke Math. J., Memoirs AMS, Adv. Math., CMP(3篇), PTRF, Math. Ann., 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。
