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

被引：0
作者：
Lian, Ruxu [1 ,2 ]
Liu, Jian [3 ]
机构：
[1] North China Univ Water Resources & Elect Power, Coll Math & Informat Sci, Zhengzhou 450011, Peoples R China
[2] Chinese Acad Sci, Inst Atmospher Phys, Beijing 100029, Peoples R China
[3] Quzhou Univ, Coll Teacher Educ, Quzhou 324000, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2016年
基金：
中国博士后科学基金;
关键词：
spherically symmetric Navier-Stokes equations; exterior problem; density-dependent viscosity; GLOBAL WEAK SOLUTIONS; SHALLOW-WATER MODEL; COEFFICIENT; DERIVATION; EXISTENCE; SYSTEM; FLOWS;
D O I：
10.1186/s13661-016-0535-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页码：1 / 20
页数：20
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