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.
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页码：3295 / 3338
页数：44
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