Seminar No.1965 Global classical solutions to compressible Navier-Stokes equations with vacuum

创建时间:  2020年06月28日 00:00  谭福平   浏览次数:   

Series reports to celebrate 60th anniversary of Math. Dept.

Title: Global classical solutions to compressible Navier-Stokes equations with vacuum

Speaker: Prof. Changjiang Zhu  ( South China University of Technology)

Time:  2020-6-29 (Monday) 10:00-12:00

Zoom Conference :
https://cernet.zoom.com.cn/j/8649755986
Conference ID:864 975 5986  

Inviter: Peicheng Zhu

Abstract:
In this paper, we establish the existence of a global classical solution to 3D Cauchy problem of the isentropic compressible Navier-Stokes equations with large initial data and vacuum under the assumption that〖(\gamma;-1)〗^(1/6) 〖E_0〗^(1/2) \mu;^((-1)/2) is suitably small. It is showed that the initial energy E_0 can be large if the adiabatic exponent  γ is near 1 or the viscosity coefficient  μ is taken to be large.

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