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.

引用

页码：111 / 117

页数：7

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