Global solutions of the compressible Navier-Stokes equations
报告人:俞成 教授(美国佛罗里达大学)
时间:2021年3月10日 (星期三)上午10:00-11:00
地点:腾讯会议:204 872 887 ,欧阳楼314
https://meeting.tencent.com/s/z3VvQjRj84Iu
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.
联系人:张挺老师(zhangting79@zju.edu.cn)