A Regularity Criterion for a 3D Chemo-Repulsion System and Its Application to a Bilinear Optimal Control Problem

DOI10.1137/18M1209891zbMath1439.35224arXiv1808.09294OpenAlexW3033028967MaRDI QIDQ3300777

Exequiel Mallea-Zepeda, Maria Angeles Rodríguez-Bellido, Francisco Guillén-González

Publication date: 30 July 2020

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.09294

zbMATH Keywords

optimality conditionsstrong solutionsweak solutionsbilinear optimal controlproduction modelchemo-repulsion model

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence theories for optimal control problems involving partial differential equations (49J20) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items

On a bi-dimensional chemo-repulsion model with nonlinear production and a related optimal control problem, 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, On a chemotaxis-Navier-Stokes system with Lotka-Volterra competitive kinetics: theoretical and numerical analysis

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