A note on the regularity of weak solutions to the coupled 2D Allen-Cahn-Navier-Stokes system

被引：8
|
作者：
Medjo, T. Tachim [1 ]
机构：
[1] Florida Int Univ, Dept Math & Stat, Miami, FL 33199 USA
来源：
JOURNAL OF APPLIED ANALYSIS | 2019年 / 25卷 / 01期
关键词：
Two-phase flow model; Allen-Cahn; Navier-Stokes; weak solutions; 2-PHASE FLOW MODEL; PHASE-FIELD MODEL; ATTRACTORS; FLUIDS;
D O I：
10.1515/jaa-2019-0012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study a coupled Allen -Cahn-Navier-Stokes model in a two-dimensional domain. The model consists of the Navier-Stokes equations for the velocity, coupled with an Allen-Cahn model for the order (phase) parameter. We present an equivalent weak formulation for the model, and we prove a new regularity result for the weak solutions.
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页码：111 / 117
页数：7
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