Homogenization of distributive optimal control problem governed by Stokes system in an oscillating domain

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-06 DOI:10.3233/asy-231867

Swati Garg, Bidhan Chandra Sardar

引用次数: 0

Abstract

The present article deals with the homogenization of a distributive optimal control problem (OCP) subjected to the more generalized stationary Stokes equation involving unidirectional oscillating coefficients posed in a two-dimensional oscillating domain. The cost functional considered is of the Dirichlet type involving a unidirectional oscillating coefficient matrix. We characterize the optimal control and study the homogenization of this OCP with the aid of the unfolding operator. Due to the presence of oscillating matrices both in the governing Stokes equations and the cost functional, one obtains the limit OCP involving a perturbed tensor in the convergence analysis.

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振荡域Stokes系统分布最优控制问题的均匀化

本文讨论了二维振荡域上包含单向振荡系数的广义平稳Stokes方程的分布最优控制问题(OCP)的均匀化问题。所考虑的代价泛函是包含单向振荡系数矩阵的狄利克雷型。利用展开算子对最优控制进行了刻画，并研究了该OCP的均匀化问题。由于控制Stokes方程和代价泛函中都存在振荡矩阵，在收敛分析中得到了涉及摄动张量的极限OCP。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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