Global classical solutions of viscous liquidgas two-phase flow model

被引：5

作者：

Cui, Haibo ^{[1
]}

Wen, Huanyao ^{[1
]}

Yin, Haiyan ^{[1
]}

机构：

[1] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2013年 / 36卷 / 05期

基金：

中国国家自然科学基金;

关键词：

viscous liquidgas two-phase flow model; classical solutions; global existence; NAVIER-STOKES EQUATIONS; BLOW-UP CRITERION; WEAK SOLUTIONS; COMPRESSIBLE FLOW; GAS MODEL; EXISTENCE; BEHAVIOR; VACUUM;

D O I：

10.1002/mma.2614

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the global existence and uniqueness of the classical solutions for the three-dimensional where the existence of global classical solutions to the compressible NavierStokes equations was obtained by using the continuity methods under the assumption that the initial energy is sufficiently small. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：567 / 583

页数：17

共 16 条

[1] On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities
Cho, YG
Kim, H
[J]. MANUSCRIPTA MATHEMATICA, 2006, 120 (01) : 91 - 129
[2] Global existence of weak solutions for a viscous two-phase model
Evje, Steinar
Karlsen, Kenneth H.
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 245 (09) : 2660 - 2703
[3] GLOBAL WEAK SOLUTIONS FOR A VISCOUS LIQUID-GAS MODEL WITH SINGULAR PRESSURE LAW
Evje, Steinar
Karlsen, Kenneth H.
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2009, 8 (06) : 1867 - 1894
[4] Global weak solutions for a viscous liquid-gas model with transition to single-phase gas flow and vacuum
Evje, Steinar
Flatten, Tore
Friis, Helmer Andre
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (11) : 3864 - 3886
[5] Friis HA, 2009, ADV APPL MATH MECH, V1, P166
[6] Global strong solution for a three-dimensional viscous liquid-gas two-phase flow model with vacuum
Guo, Zhenhua
Yang, Jing
Yao, Lei
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (09)
[7] Compressible flow in a half-space with navier boundary conditions
Hoff, D
[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2005, 7 (03) : 315 - 338
[8] GLOBAL-SOLUTIONS OF THE NAVIER-STOKES EQUATIONS FOR MULTIDIMENSIONAL COMPRESSIBLE FLOW WITH DISCONTINUOUS INITIAL DATA
HOFF, D
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1995, 120 (01) : 215 - 254
[9] A blow-up criterion of strong solutions to the 2D compressible Navier-Stokes equations
Sun YongZhong
Zhang ZhiFei
[J]. SCIENCE CHINA-MATHEMATICS, 2011, 54 (01) : 105 - 116
[10] A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
Sun, Yongzhong
Wang, Chao
Zhang, Zhifei
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2011, 95 (01): : 36 - 47

← 1 2 →