Global solutions of the compressible Navier-Stokes equations
报告题目(Title)：Global solutions of the compressible Navier-Stokes equations
报告人(Speaker)：俞成 （佛罗里达大学）
地点(Place)：腾讯会议ID：641 164 768
时间(Time)：11月14日（周六），10:05-11:05（北京时间）21:05-22:05（美国东部时间）
邀请人(Inviter)：Calvin Khor, 吴家宏，许孝精，袁迪凡
报告摘要
In this talk, I will talk about the existence of global weak solutions for the compressible Navier-Stokes equations, in particular, the viscosity coefficients depend on the density. Our main contribution is to further develop renormalized techniques so that the Mellet-Vasseur type inequality is not necessary for the compactness. This provides existence of global solutions in time, for the barotropic compressible Navier-Stokes equations, for any $\gamma>1$, in three dimensional space, with large initial data, possibly vanishing on the vacuum. This is a joint work with D. Bresch, A. Vasseur
