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

作者：Lian, Ruxu^*; Liu, Jian

来源：Boundary Value Problems, 2016, 2016(1): 49.

DOI：10.1186/s13661-016-0535-5

• spherically symmetric Navier-Stokes equations
• exterior problem
• density-dependent viscosity

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.

• 出版日期2016-2-22
• 单位中国科学院大气物理研究所; 衢州学院