ROBUST CONTROL OF A CAHN-HILLIARD-NAVIER-STOKES MODEL

被引：2

作者：

Medjo, T. Tachim ^{[1
]}

机构：

[1] Florida Int Univ, Dept Math, DM413B Univ Pk, Miami, FL 33199 USA

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2016年 / 15卷 / 06期

关键词：

Robust control; Navier-Stokes; Cahn-Hilliard; optimality condition; PHASE-FIELD MODEL; MAXIMUM PRINCIPLE; 2-PHASE FLOW; ASSIMILATION; EQUATIONS; FLUIDS; SHEAR;

D O I：

10.3934/cpaa.2016028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study in this article a class of robust control problems associated with a coupled Cahn-Hilliard-Navier-Stokes model in a two dimensional bounded domain. The model consists of the Navier-Stokes equations for the velocity, coupled with the Cahn-Hilliard model for the order (phase) parameter. We prove the existence and uniqueness of solutions and we derive a first-order necessary optimality condition for these robust control problems.

引用

页码：2075 / 2101

页数：27

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