Exterior problem for the spherically symmetric isentropic compressible Navier-Stokes equations with density-dependent viscosity

Boundary value problems

Ruxu Lian¹  Jian Liu² 

[1] College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou, P.R. China;Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, P.R. China

关键词: spherically symmetric Navier-Stokes equations;    exterior problem;    density-dependent viscosity;    35Q35;    76D03;   

DOI  :  10.1186/s13661-016-0535-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the exterior problem for the spherically symmetric isentropic compressible Navier-Stokes equations with density-dependent viscosity coefficients. Under certain assumptions imposed on the initial data, we show that there exists a unique global strong solution to the exterior problem and obtain the regularity of the strong solution. Some ideas and more delicate estimates are introduced to prove these results.

【 授权许可】

CC BY