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SEMINARS
Compressible Navier-Stokes equations with degenerate viscosities
时间  Datetime
2017-08-24 10:30 — 11:30 
地点  Venue
Middle Lecture Room
报告人  Speaker
Cheng Yu
单位  Affiliation
Department of Mathematics, University of Texas at Austin, USA
邀请人  Host
Yachun Li
报告摘要  Abstract

We will discuss recent results on the construction of weak solutions for 3D compressible Navier-Stokes equations with degenerate viscosities, including the construction of weak solutions for the viscous shallow water equation. This was proposed as an open problem by P.-L. Lions in his book on fluid mechanics in the late 90'. It has been solved, in collaboration with Alexis Vasseur, in our recent joint work. We will also mention some results on the energy conservation for the Navier-Stokes equations.