The Time Optimal Control of Two Dimensional Convective Brinkman-Forchheimer Equations

被引：2
作者：
Mohan, Manil T. [1 ]
机构：
[1] Indian Inst Technol Roorkee, Dept Math, Haridwar Highway, Roorkee 247667, Uttarakhand, India
来源：
APPLIED MATHEMATICS AND OPTIMIZATION | 2021年 / 84卷 / 03期
关键词：
Convective Brinkman– Forchheimer equations; Pontryagin’ s maximum principle; Porus medium; Time optimal control; NAVIER-STOKES EQUATIONS; BANG-BANG PROPERTY; HEAT-EQUATION; CONTROLLABILITY; 2ND-ORDER;
D O I：
10.1007/s00245-021-09748-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we discuss the time optimal control of two dimensional convective Brinkman-Forchheimer (2D CBF) equations, which describe the motion of incompressible viscous fluid through a rigid, homogeneous, isotropic, porous medium. We establish Pontryagin's maximum principle for the time optimal control of the 2D CBF equations.
引用
收藏
页码：3295 / 3338
页数：44
相关论文
共 50 条
[41]   EXISTENCE AND UPPER SEMICONTINUITY OF RANDOM PULLBACK ATTRACTORS FOR 2D AND 3D NON-AUTONOMOUS STOCHASTIC CONVECTIVE BRINKMAN-FORCHHEIMER EQUATIONS ON WHOLE SPACE [J].
Kinra, Kush ;
Mohan, Manil T. .
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2023, 36 (5-6) :367-412
[42]   The existence of time optimal control of semilinear parabolic equations [J].
Wang, GS .
SYSTEMS & CONTROL LETTERS, 2004, 53 (3-4) :171-175
[43]   The ℍ1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb {H}^{1}$\end{document}-Compact Global Attractor for Two-Dimensional Convective Brinkman-Forchheimer Equations in Unbounded Domains [J].
Manil T. Mohan .
Journal of Dynamical and Control Systems, 2022, 28 (4) :791-816
[44]   THE BANG-BANG PROPERTY OF TIME AND NORM OPTIMAL CONTROL PROBLEMS FOR PARABOLIC EQUATIONS WITH TIME-VARYING FRACTIONAL LAPLACIAN [J].
Yu, Xin ;
Zhang, Liang .
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2019, 25
[45]   TIME OPTIMAL CONTROL FOR A CLASS OF EVOLUTIONARY EQUATIONS WITH APPLICATIONS [J].
Lin, Guangxuan ;
Zeng, Biao .
EVOLUTION EQUATIONS AND CONTROL THEORY, 2024, 13 (03) :673-701
[46]   The time optimal control of Navier-Stokes equations [J].
Barbu, V .
SYSTEMS & CONTROL LETTERS, 1997, 30 (2-3) :93-100
[47]   OPTIMAL CONTROL OF THE TWO-DIMENSIONAL EVOLUTIONARY NAVIER-STOKES EQUATIONS WITH MEASURE VALUED CONTROLS [J].
Casas, Eduardo ;
Kunisch, Karl .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021, 59 (03) :2223-2246
[48]   OPTIMAL CONTROL OF THE TWO-DIMENSIONAL STATIONARY NAVIER-STOKES EQUATIONS WITH MEASURE VALUED CONTROLS [J].
Casas, Eduardo ;
Kunisch, Karl .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2019, 57 (02) :1328-1354
[49]   Time Optimal Control Problem of the 2D MHD Equations with Memory [J].
Son, Dang Thanh ;
Toan, Nguyen Duong .
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2023, 29 (04) :1323-1355
[50]   PERTURBATIONS OF TIME OPTIMAL CONTROL PROBLEMS FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS [J].
Zhou, Xiuxiang .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2023, 61 (04) :2069-2087
12345