An Optimal Control Problem for a Generalized Bioconvective Flow

Jose L. Boldrini; Rogério de Aguiar; Marko A. Rojas-Medar; Maria D. Rojas-Medar

doi:10.1007/s10440-022-00491-0

An Optimal Control Problem for a Generalized Bioconvective Flow

Jose L. Boldrini
, Rogério de Aguiar
, Marko A. Rojas-Medar
, Maria D. Rojas-Medar

Department of Mathematics

Universidade Estadual de Campinas
Universidade do Estado de Santa Catarina
Universidad de Antofagasta

Research output: Contribution to journal › Article › peer-review

Abstract

In this work, we consider an optimal control problem for a generalized model for bioconvective flows, which are convection flows caused by the differences in the concentration of upward swimming microorganisms in a fluid. We firstly study the existence of weak solutions for the mathematical fluid model; then we prove the existence of optimal controls and obtain the corresponding first order optimality conditions by using the Dubovitskii-Milyutin formalism.

Original language	English
Article number	5
Journal	Acta Applicandae Mathematicae
Volume	179
Issue number	1
DOIs	https://doi.org/10.1007/s10440-022-00491-0
State	Published - Jun 2022

Keywords

Bioconvective flows
Dubovitskii-Milyutin formalism
Existence of solutions
Navier-Stokes equations
Optimal control

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10.1007/s10440-022-00491-0

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title = "An Optimal Control Problem for a Generalized Bioconvective Flow",

abstract = "In this work, we consider an optimal control problem for a generalized model for bioconvective flows, which are convection flows caused by the differences in the concentration of upward swimming microorganisms in a fluid. We firstly study the existence of weak solutions for the mathematical fluid model; then we prove the existence of optimal controls and obtain the corresponding first order optimality conditions by using the Dubovitskii-Milyutin formalism.",

keywords = "Bioconvective flows, Dubovitskii-Milyutin formalism, Existence of solutions, Navier-Stokes equations, Optimal control",

author = "Boldrini, \{Jose L.\} and \{de Aguiar\}, Rog{\'e}rio and Rojas-Medar, \{Marko A.\} and Rojas-Medar, \{Maria D.\}",

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AU - Boldrini, Jose L.

AU - de Aguiar, Rogério

AU - Rojas-Medar, Marko A.

AU - Rojas-Medar, Maria D.

PY - 2022/6

Y1 - 2022/6

N2 - In this work, we consider an optimal control problem for a generalized model for bioconvective flows, which are convection flows caused by the differences in the concentration of upward swimming microorganisms in a fluid. We firstly study the existence of weak solutions for the mathematical fluid model; then we prove the existence of optimal controls and obtain the corresponding first order optimality conditions by using the Dubovitskii-Milyutin formalism.

AB - In this work, we consider an optimal control problem for a generalized model for bioconvective flows, which are convection flows caused by the differences in the concentration of upward swimming microorganisms in a fluid. We firstly study the existence of weak solutions for the mathematical fluid model; then we prove the existence of optimal controls and obtain the corresponding first order optimality conditions by using the Dubovitskii-Milyutin formalism.

KW - Bioconvective flows

KW - Dubovitskii-Milyutin formalism

KW - Existence of solutions

KW - Navier-Stokes equations

KW - Optimal control

UR - https://www.scopus.com/pages/publications/85129752541

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JO - Acta Applicandae Mathematicae

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ER -

An Optimal Control Problem for a Generalized Bioconvective Flow

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Keywords

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