An Optimal Control Problem for a Generalized Bioconvective Flow

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 mo...

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Bibliographic Details
Published in:Acta applicandae mathematicae 2022-06, Vol.179 (1), Article 5
Main Authors: Boldrini, Jose L., de Aguiar, Rogério, Rojas-Medar, Marko A., Rojas-Medar, Maria D.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Approximation
Boundary conditions
Calculus of Variations and Optimal Control
Optimization
Computational Mathematics and Numerical Analysis
Mathematics
Mathematics and Statistics
Microorganisms
Navier-Stokes equations
Optimal control
Optimization
Partial Differential Equations
Probability Theory and Stochastic Processes
Swimming
Viscosity
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Summary: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.
ISSN:0167-8019
1572-9036
DOI:10.1007/s10440-022-00491-0