Maximum principle of optimal control of a Cahn-Hilliard-Navier-Stokes model with state constraints

Tachim Medjo Theodore; Tone Cristina; Tone Florentina

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Maximum principle of optimal control of a Cahn-Hilliard-Navier-Stokes model with state constraints

机译：具有国家约束的CAHN-HILLIARD-NANIER-Stokes模型的最大原理

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摘要

We investigate in this article Pontryagin's maximum principle for a class of control problems associated with a Cahn-Hilliard-Navier-Stokes model in a two dimensional bounded domain. The model consists of the Navier-Stokes equations for the velocity v, coupled with a Cahn-Hilliard model for the order (phase) parameter phi. We derive Pontryagin's maximum principle for the control problems assuming that a solution exists. Let us note that the coupling between the Navier-Stokes and the Cahn-Hilliard systems makes the analysis of the control problem more involved.

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来源
《Optimal Control Applications and Methods》 |2021年第3期|共26页
作者
Tachim Medjo Theodore; Tone Cristina; Tone Florentina;
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作者单位

Florida Int Univ Dept Math DM413B Miami FL 33199 USA;

Univ Louisville Dept Math Louisville KY 40292 USA;

Univ West Florida Dept Math &

Stat Pensacola FL USA;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Cahn-Hilliard; maximum principle; Navier-Stokes; state constrained;

机译：Cahn-Hilliard;最大原则;Navier-Stokes;国家受约束;

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Maximum principle of optimal control of a Cahn-Hilliard-Navier-Stokes model with state constraints

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