Global existence of spherically symmetric solutions for nonlinear compressible Navier-Stokes equations

被引：5

作者：

Qin, Yuming ^{[1
]}

Wen, Shenglan ^{[2
]}

机构：

[1] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China

[2] PLA Informat Engn Univ, Zhengzhou 450002, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2008年 / 49卷 / 02期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1063/1.2838315

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper concerns the global existence of. solutions in H(i)(i = 1, 2, 4) for the nonlinear compressible Navier-Stokes equations of an initial-boundary value problem with an external force and a heat source. Some important inequalities are used and some new results are obtained. (C) 2008 American Institute of Physics.

引用

页数：25

共 50 条

[1] Global Existence of Cylinder Symmetric Solutions for the Nonlinear Compressible Navier-Stokes Equations
Huang, Lan
Zhai, Fengxiao
Zhang, Beibei
[J]. JOURNAL OF APPLIED MATHEMATICS, 2011,
[2] Existence and uniqueness of weak solutions of the compressible spherically symmetric Navier-Stokes equations
Huang, Xiangdi
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 262 (03) : 1341 - 1358
[3] On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations
Jiang, S
Zhang, P
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 215 (03) : 559 - 581
[4] Vacuum state for spherically symmetric solutions of the compressible Navier-Stokes equations
Xin, Zhouping
Yuan, Hongjun
[J]. JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2006, 3 (03) : 403 - 442
[5] Global Weak Solutions to the Compressible Navier-Stokes Equations in the Exterior Domain with Spherically Symmetric Data
Lingyu Jiang
Chao Wang
[J]. Acta Applicandae Mathematicae, 2012, 121 : 197 - 211
[6] Global Weak Solutions to the Compressible Navier-Stokes Equations in the Exterior Domain with Spherically Symmetric Data
Jiang, Lingyu
Wang, Chao
[J]. ACTA APPLICANDAE MATHEMATICAE, 2012, 121 (01) : 197 - 211
[7] Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity
Lian, Ruxu
Huang, Lan
Liu, Jian
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
[8] Global existence of the radially symmetric solutions of the Navier-Stokes equations for the isentropic compressible fluids
Choe, HJ
Kim, HS
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2005, 28 (01) : 1 - 28
[9] GLOBAL EXISTENCE OF SOLUTIONS FOR ISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS
LIONS, PL
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 316 (12): : 1335 - 1340
[10] Global existence of solutions for compressible Navier-Stokes equations with vacuum
Qin, Xulong
Yao, Zheng-an
Zhou, Wenshu
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 340 (01) : 226 - 238

← 1 2 3 4 5 →