The time optimal control of two dimensional convective Brinkman-Forchheimer equations (Q2234326)

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The time optimal control of two dimensional convective Brinkman-Forchheimer equations
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    The time optimal control of two dimensional convective Brinkman-Forchheimer equations (English)
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    19 October 2021
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    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.
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    convective Brinkman-Forchheimer equations
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    Pontryagin's maximum principle
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    porus medium
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    time optimal control
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