Optimal boundary control in a micromixer

Manuel Wegmann; Julius Jeßberger; Gudrun Thäter; Mathias J. Krause

Examples and Counterexamples (Dec 2024)

Optimal boundary control in a micromixer

Manuel Wegmann,
Julius Jeßberger,
Gudrun Thäter,
Mathias J. Krause

Affiliations

Manuel Wegmann: Lattice Boltzmann Research Group, Karlsruhe Institute of Technology, Englerstraße 2, Karlsruhe, 76131, Germany
Julius Jeßberger: Lattice Boltzmann Research Group, Karlsruhe Institute of Technology, Englerstraße 2, Karlsruhe, 76131, Germany; Institute for Applied and Numerical Mathematics, Karlsruhe Institute of Technology, Englerstraße 2, Karlsruhe, 76131, Germany; Corresponding author at: Lattice Boltzmann Research Group, Karlsruhe Institute of Technology, Englerstraße 2, Karlsruhe, 76131, Germany.
Gudrun Thäter: Lattice Boltzmann Research Group, Karlsruhe Institute of Technology, Englerstraße 2, Karlsruhe, 76131, Germany; Institute for Applied and Numerical Mathematics, Karlsruhe Institute of Technology, Englerstraße 2, Karlsruhe, 76131, Germany
Mathias J. Krause: Lattice Boltzmann Research Group, Karlsruhe Institute of Technology, Englerstraße 2, Karlsruhe, 76131, Germany; Institute for Applied and Numerical Mathematics, Karlsruhe Institute of Technology, Englerstraße 2, Karlsruhe, 76131, Germany

Journal volume & issue: Vol. 6
p. 100156

Abstract

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This work studies mathematical foundations for optimal boundary control of mixers which mix two fluid phases. Existence of optima is proved and the influence of common objective functionals is discussed.

Published in Examples and Counterexamples

ISSN: 2666-657X (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Mathematics
Website: https://www.journals.elsevier.com/examples-and-counterexamples

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