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

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作者
Ruxu Lian
Jian Liu
机构
[1] North China University of Water Resources and Electric Power,College of Mathematics and Information Science
[2] Chinese Academy of Sciences,Institute of Atmospheric Physics
[3] Quzhou University,College of Teacher Education
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spherically symmetric Navier-Stokes equations; exterior problem; density-dependent viscosity; 35Q35; 76D03;
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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.
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