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

页码：3295 / 3338

页数：44

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