The time optimal control of two dimensional convective Brinkman-Forchheimer equations (Q2234326)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The time optimal control of two dimensional convective Brinkman-Forchheimer equations |
scientific article |
Statements
The time optimal control of two dimensional convective Brinkman-Forchheimer equations (English)
0 references
19 October 2021
0 references
The author considers in this paper the time optimal control of the convective Brinkman-Forchheimer equation in two-dimensional domains, where the control is of distributed type. Following the standard approaches, the author proves the existence of an optimal solution to the time-optimal control problem, and derives the first order necessary optimality conditions by using the Pontryagin maximum principle.
0 references
convective Brinkman-Forchheimer equations
0 references
Pontryagin's maximum principle
0 references
porus medium
0 references
time optimal control
0 references
0 references
0 references
0 references
0 references