题目一：Global well-posedness for the compressible Oldroyd-B model in the critical spaces

内容简介：In this talk,  we are concerned with the Cauchy problem of the 3-D Compressible Oldroyd-B model. Using uniform estimates for the linearized system with a convection term, we get the global well-posedness for the compressible Oldroyd-B equations in the critical functional framework with the initial data close to a stable equilibrium. Moreover, we also investigate the global existence and uniqueness of classical solutions to the Cauchy problem for this Oldroyd-B model with smooth initial data which are of small energy but possibly large oscillations with constant state.

报告人：西北大学  桂贵龙  教授

报告人简介：桂贵龙，西北大学数学系教授，钟家庆数学奖获得者。在Comm. Pure Appl. Math.、Arch. Ration. Mech. Anal.、  Comm. Math. Phys.、  Adv. Math.、  J. Funct. Anal. 等国际著名杂志上发表文章近30篇。

时  间：2017年6月4日（周日）下午2：30始

题目二：Existence of global weak solutions for the Navier-Stokes-Vlasov-Boltzmann equations

内容简介：The moderately thick spray can be described by a coupled system of equations consisting of the incompressible Navier-Stokes equations and the Vlasov-Boltzmann equation. We investigate this kind of mathematical model in this paper. In particular, we study the initial value problem of the Navier-Stokes-Vlasov-Boltzmann equations. The existence of global weak solutions is established by the weak convergence method. The interesting point of our main result is to handle the model with some breakup effects while the velocity of particles is in the whole space.

报告人：西北大学  姚磊  教授

报告人简介：姚磊，西北大学数学系教授，全国优秀百篇博士论文获得者。在Math. Ann.、 SIAM J. Math. Anal.、J. Differential Equations等国际著名杂志上发表文章近30篇。

时  间：2017年6月4日（周日）下午3：30始

地  点：南海楼224室

热烈欢迎广大师生参加!

信息科学技术学院/网络空间安全学院

2017年5月31日