A blow-up criterion of strong solution to a 3D viscous liquid-gas two-phase flow model with vacuum

被引：55
|
作者：
Wen, Huanyao [1 ,3 ]
Yao, Lei [2 ]
Zhu, Changjiang [1 ]
机构：
[1] Cent China Normal Univ, Hubei Key Lab Math Phys, Sch Math & Stat, Wuhan 430079, Peoples R China
[2] Northwest Univ, Dept Math, Xian 710127, Peoples R China
[3] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2012年 / 97卷 / 03期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Liquid-gas two-phase flow model; Local strong solution; Blow-up criterion; Vacuum; NAVIER-STOKES EQUATIONS; GLOBAL WEAK SOLUTIONS; EXISTENCE;
D O I：
10.1016/j.matpur.2011.09.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we get a unique local strong solution to a 3D viscous liquid-gas two-phase flow model in a smooth bounded domain. Besides, a blow-up criterion of the strong solution for 25/3 mu > lambda is obtained. The method can be applied to study a blow-up criterion of the strong solution to Navier-Stokes equations for 25/3 mu > lambda, which improves the corresponding result about Navier-Stokes equations in Sun et al. (2011) [15] where 7 mu > lambda. Moreover, all the results permit the appearance of vacuum. (C) 2011 Elsevier Masson SAS. All rights reserved.
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页码：204 / 229
页数：26
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