报告题目:The two-dimensional Boussinesq equations with partial or fractional dissipation
报 告 人:吴家宏 教授 (美国俄克拉荷马州立大学)
报告时间:2016年6月13日(星期一)下午04:00-05:00
报告地点:4号楼4318室
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数学学院
2016年06月12日
报告摘要:
The Boussinesq equations concerned here model geophysical flows such as atmospheric fronts and ocean circulations. In addition, they play an important role in the study of Rayleigh-Benard convection. Mathematically the 2D Boussinesq equations serve as a lower-dimensional model of the 3D hydrodynamics equations. The global regularity problem on the 2D Boussinesq equations with partial or fractional dissipation has attracted considerable attention in the last few years. This talk presents recent developments in this direction. In particular, we detail the global regularity result on the 2D Boussinesq equations with vertical dissipation as well as some recent work on the 2D Boussinesq equations with general critical dissipation. If time permits, we will also briefly discuss the regularity problem on the partially dissipated Boussinesq equations in a bounded domain.
报告人简介:
吴家宏,美国俄克拉荷马州立大学(Oklahoma State University)数学系教授,流体力学数学理论的专家,自1990年以来一直跟随世界著名的 Peter Constantin 学习和研究流体力学的数学理论,并利用调和分析工具解决了流体力学中一些很困难的问题。目前已经在世界著名杂志(如CPAM, ARMA,JFA,SIAM等等)上发表论文80多篇,并且被广泛地引用。他曾多次被邀做学术报告和系列讲座,并多次主持学术会议。