On the strong solution for a diffuse interface model of non-Newtonian two-phase flows

被引：0
|
作者：
Zhao, Xiaopeng [1 ]
Zhou, Yong [2 ,3 ]
机构：
[1] Northeastern Univ, Coll Sci, Shenyang 110004, Peoples R China
[2] Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China
[3] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
来源：
ANALYSIS AND APPLICATIONS | 2024年 / 22卷 / 04期
关键词：
Diffuse interface model; non-Newtonian two-phase flows; local well-posedness; global well-posedness; energy estimates; NAVIER-STOKES SYSTEMS; WEAK SOLUTIONS; INCOMPRESSIBLE FLUIDS; GLOBAL EXISTENCE; HILLIARD SYSTEM; DYNAMICS; SHEAR; EQUATIONS;
D O I：
10.1142/S0219530523500331
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is to study the well-posedness of a diffuse interface model of non-Newtonian two-phase flows in R-3. First, we prove the local existence of a unique strong solution provided that the initial velocity and initial concentration of two phases are sufficiently regular. Then, by using the energy estimates and standard continuity argument, we show that there exists a unique global strong solution provided that the initial velocity and initial concentration are sufficiently small.
引用
收藏
页码：655 / 688
页数：34
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