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题目：Global strong solution of compressible flow with spherically symmetric data and density-dependent Viscosities

报告人：郭真华教授 （广西大学）  

摘要：In this paper, the Cauchy problem of a compressible Navier-Stokes system with density-dependent viscosities when the initial data are spherically symmetric is considered. By dividing the Cauchy problem into two free boundary problems with the intermediately connected by a defined free boundary a(t) , we can obtain a global strong solution of the Cauchy problem after solving the existence of strong solutions of these two sub-issues, respectively, and piecing the solutions together. In particular, our analysis gives a positive example that it does not exhibit vacuum states provided that no vacuum states are present initially for multi-dimensional compressible flow with density-dependent viscosities, which is consistent with Hoff-Smoller where the viscosity coefficients are assumed to be positive constants.  

报告时间：2024年12月8日（周三）下午15:00-16:00

报告地点：教二楼513  

联系人：酒全森