On a bi-dimensional chemo-repulsion model with nonlinear production and a related optimal control problem

DOI10.1007/s10440-020-00365-3zbMath1464.35225OpenAlexW3089427562MaRDI QIDQ829616

Exequiel Mallea-Zepeda, Francisco Guillén-González, Elder Jesús Villamizar-Roa

Publication date: 6 May 2021

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-020-00365-3

zbMATH Keywords

optimal controluniquenessstrong solutionschemo-repulsionnonlinear production

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence theories for optimal control problems involving partial differential equations (49J20) Cell movement (chemotaxis, etc.) (92C17) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Related Items

Bilinear optimal control of the Keller-Segel logistic model in \(2D\)-domains, An Optimal Control Problem Subject to Strong Solutions of Chemotaxis-Consumption Models, Stationary solutions to a chemo-repulsion system and a related optimal bilinear control problem, An optimal control problem for a Lotka-Volterra competition model with chemo-repulsion, An optimal control problem for the Navier-Stokes-\(\alpha\) system, An optimal control problem related to a 3D-chemotaxis-Navier-Stokes model, Optimal control for a chemotaxis-haptotaxis model in two space dimensions

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