偏微分方程研讨班：Global existence of solutions to the 3D barotropic compressible Navier-Stokes equations with density-dependent viscosities

中国科学院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

Speaker: 张荣（南昌大学）

Title: Global existence of solutions to the 3D barotropic compressible Navier-Stokes equations with density-dependent viscosities

Time&Venue: 2024年11月29日（星期五）9:00-10:00 &腾讯会议：106-498-484会议密码：2024

Abstract:In this talk, we are concerned with the barotropic compressible Navier-Stokes equations with density-dependent viscosities. Firstly, for the weak solutions to IBVP with Navier-slip boundary conditions, we obtain the global existence of weak solutions for general initial data. Secondly, for the strong solutions to Cauchy problem, we establish the global existence of strong solutions as long as the initial data is large enough. This is a big contrast to the classical results where the initial data is a small perturbation of some resting states. This is a joint work with Prof. Xiangdi Huang and Dr. Jiaxu Li.