Global weak solutions of the compressible Navier-Stokes equations

俞成(佛罗里达大学)

发布日期:2020-09-16点击数:

报告人 :俞成(佛罗里达大学)

日期:2020919

时间:9:30开始

腾讯会议 ID985 275 356(无密码)


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.


报告人简介:俞成,佛罗里达大学数学系助理教授,博士毕业于匹兹堡大学。研究方向为偏微分方程。



联系人:穆春来 王华桥



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