主讲人：Dr. Cheng Yu

单位：University of Texas Austin, USA

时间：2015.6.18（星期四）上午  9:30-10:30

地点：西北大学太白校区非线性科学研究中心学术报告厅

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 \gamma>1, in three dimensional space, with large initial data possibly vanishing on the vacuum. This solves an open problem proposed by Lions.

报告人简介：俞成博士毕业于Department of Mathematics，University of PittsburghPennsylvania，U.S.A现任职于Department of Mathematics  University  of Texas Austin, U.S.A.，主要研究流体力学中偏微分方程，如：可压缩Navier-Stokes方程组、可压缩液晶流等，已在Arch. Rational Mech. Anal.、 J. Math. Fluid Mech.、 Commun. Math. Sci. 等期刊上发表多篇学术论文。

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