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.

引用

页码：1 / 20

页数：20

共 50 条

[1] Exterior problem for the spherically symmetric isentropic compressible Navier-Stokes equations with density-dependent viscosity
Ruxu Lian
Jian Liu
Boundary Value Problems, 2016
[2] Regularity to the spherically symmetric compressible Navier-Stokes equations with density-dependent viscosity
Huang, Lan
Lian, Ruxu
BOUNDARY VALUE PROBLEMS, 2018,
[3] Global solution to the exterior problem for spherically symmetric compressible Navier-Stokes equations with density-dependent viscosity and discontinuous initial data
Ruxu Lian
Jianwei Yang
Boundary Value Problems, 2013
[4] Global solution to the exterior problem for spherically symmetric compressible Navier-Stokes equations with density-dependent viscosity and discontinuous initial data
Lian, Ruxu
Yang, Jianwei
BOUNDARY VALUE PROBLEMS, 2013,
[5] Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity
Lian, Ruxu
Huang, Lan
Liu, Jian
JOURNAL OF APPLIED MATHEMATICS, 2012,
[6] Free boundary value problem for the radial symmetric compressible isentropic Navier-Stokes equations with density-dependent viscosity
Huang, Xiangdi
Meng, Weili
Ni, Anchun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 548 (01)
[7] Regularity to the spherically symmetric compressible Navier–Stokes equations with density-dependent viscosity
Lan Huang
Ruxu Lian
Boundary Value Problems, 2018
[8] Global solution of spherically symmetric compressible Navier-Stokes equations with bounded density and density-dependent viscosity
Zhang, Xueyao
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (02) : 2235 - 2252
[9] Spherically Symmetric Barotropic Compressible Navier-Stokes Equations with Density-Dependent Viscosity and Discontinuous Initial Data
Ruxu Lian
Lan Huang
Acta Applicandae Mathematicae, 2016, 144 : 159 - 184
[10] Spherically Symmetric Barotropic Compressible Navier-Stokes Equations with Density-Dependent Viscosity and Discontinuous Initial Data
Lian, Ruxu
Huang, Lan
ACTA APPLICANDAE MATHEMATICAE, 2016, 144 (01) : 159 - 184

← 1 2 3 4 5 →