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

内容簡介：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.

報告人：西北大學  桂貴龍  教授

報告人簡介：桂貴龍，西北大學數學系教授，鐘家慶數學獎獲得者。在Comm. Pure Appl. Math.、Arch. Ration. Mech. Anal.、  Comm. Math. Phys.、  Adv. Math.、  J. Funct. Anal. 等國際著名雜志上發表文章近30篇。

時  間：2017年6月4日（周日）下午2：30始

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

内容簡介：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.

報告人：西北大學  姚磊  教授

報告人簡介：姚磊，西北大學數學系教授，全國優秀百篇博士論文獲得者。在Math. Ann.、 SIAM J. Math. Anal.、J. Differential Equations等國際著名雜志上發表文章近30篇。

時  間：2017年6月4日（周日）下午3：30始

地  點：南海樓224室

熱烈歡迎廣大師生參加!

太阳集团1088vip/網絡空間安全學院

2017年5月31日