Abstract
We prove the existence and uniqueness of weak solutions of the stationary magneto-micropolar equations with mixed boundary conditions for velocity, including Navier slip condition. We study an optimal boundary control problem associated to weak solutions of these equations. By using the Lagrange multipliers method, we obtain first-order necessary conditions from which we derive an optimality system.
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Acknowledgements
E. Mallea-Zepeda was supported by Proyecto UTA-Mayor, 4740-18, Universidad de Tarapacá (Chile).
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Mallea-Zepeda, E., Ortega-Torres, E. Control Problem for a Magneto-Micropolar Flow with Mixed Boundary Conditions for the Velocity Field. J Dyn Control Syst 25, 599–618 (2019). https://doi.org/10.1007/s10883-018-9427-6
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DOI: https://doi.org/10.1007/s10883-018-9427-6