学术报告报告题目一：Regularityof Solutions for Some Degenerate Equations
报告人：陈化教授（武汉大学）
报告时间：2016年6月10日（星期五）上午09:30-10:30
报告题目二：GlobalStability of Hydrostatic Equilibria Associated With Buoyancy DrivenFluid Flows
报告人：赵坤教授（杜兰大学）
报告时间：2016年6月10日（星期五）上午10:30-11:30
报告地点：4号楼4318室
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数学学院
2016年06月06日
报告一摘要：
In this talk, I would report some results on the Gevrey (or analytic)regularities of solutions for some degenerate partial differentialequations, which including (1) generalized Kolmogorov equations（orlinear Boltzmann equations), (2) Fokker-Planck equations,(3) Landauequations and (4) sub-elliptic Monge-Ampere equations.
报告二摘要：
The two-dimensional Navier-Stokes-Boussinesq (NSB) system (derived byJoseph Valentin Boussinesq around 1897) is frequently used in fluiddynamics modeling buoyancy driven fluid flows, as well as othersituations in astrophysics, and atmospheric and oceanographicsciences where stratification and rotation play a dominant role.Mathematically, the 2D NSB is also well-known, due to its closeconnection with classical models in mathematical fluid dynamics, suchas the incompressible Navier-Stokes/Euler equations. In this talk, Iwill briefly introduce the background of the model, and report somerecent progress regarding rigorous and numerical studies conducted onthe model. In particular, I will introduce results concerning thelong-time asymptotic behavior of strong solutions to the model on 2Dbounded domains with physical boundaries subject to various types ofphysically relevant and computationally effective boundaryconditions, which is related to demonstrating the global stability ofhydrostatic equilibria associated with buoyancy driven fluid flows.This is a joint work with Charles Doering (University of Michigan -Ann Arbor), Jiahong Wu (Oklahoma State University) and Xiaoming Zheng(Central Michigan University).