GLOBAL ANALYSIS OF STRONG SOLUTIONS FOR THE VISCOUS LIQUID-GAS TWO-PHASE FLOW MODEL IN A BOUNDED DOMAIN

被引：2
|
作者：
Wu, Guochun [1 ]
Zhang, Yinghui [2 ]
机构：
[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China
[2] Hunan Inst Sci & Technol, Dept Math, Yueyang 414006, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2018年 / 23卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Two-phase flow model; global existence; asymptotic behavior; bounded domain; BLOW-UP CRITERION; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; CONVERGENCE-RATES; ASYMPTOTIC-BEHAVIOR; HEAT-CONDUCTIVITY; 2-FLUID MODEL; EXISTENCE; VACUUM; 3D;
D O I：
10.3934/dcdsb.2018157
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate global existence and asymptotic behavior of strong solutions for the viscous liquid-gas two-phase flow model in a bounded domain with no-slip boundary. The global existence and uniqueness of strong solutions are obtained when the initial data is near its equilibrium in H-2(Omega). Furthermore, the exponential convergence rates of the pressure and velocity are also proved by delicate energy methods.
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页码：1411 / 1429
页数：19
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