国家天元数学中部中心Colloquium报告 | 朱长江 教授(华南理工大学)

发布时间: 2023-12-03 10:34

报告题目:Global existence for a class of large solution to compressible Navier-Stokes equations with vacuum

报告时间:2023-12-07   16:00-17:00

报 告 人 :朱长江  教授  华南理工大学

报告地点:理学院东北楼一楼报告厅(110)

Abstract:In this paper, we establish the existence of global classical solution to 3D Cauchy problem of the isentropic compressible Navier-Stokes equations with large initial data and vacuum under the assumption that (γ-1)^(1/6) E_0^(1/2) μ^(-1/2)is suitably small. It is showed that the initial energy E_0can be large if the adiabatic exponent γis near 1 or the viscosity coefficient μis taken to be large. This is a joint work with GuangyiHong, XiaofengHou and HongyunPeng.