学术报告关于举行俞成博士学术报告的通知
报告题目：Existence of Global Weak Solutions for 3D Degenerate Compressible Navier-Stokes Equations
报 告 人：俞成博士（美国德克萨斯州大学奥斯汀分校）
报告时间：6月15日 （周一） 15:00-16:30
报告地点：4号楼4318室
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数学学院
二〇一五年六月十五日
报告人简介：
俞成 博士，2013年在美国匹兹堡大学数学系取得博士学位。现为美国德克萨斯州大学奥斯汀分校的Bing Instructor.
报告摘要：
In this joint work with Alexis Vasseur, we prove the existence of global weak solutions for 3D compressible Navier-Stokes equations with degenerate viscosity. The method is based on the Bresch and Desjardins entropy conservation. The main contribution of this paper is to derive the Mellet-Vasseur type inequality for the weak solutions, even if it is not verified by the first level of approximation. This provides existence of global solutions in time, for the compressible Navier-Stokes equations, for any γ>1, in three dimensional space, with large initial data possibly vanishing on the vacuum. This solves an open problem proposed by Lions.