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Control Problem for a Magneto-Micropolar Flow with Mixed Boundary Conditions for the Velocity Field

  • Exequiel Mallea-ZepedaEmail author
  • Elva Ortega-Torres
Article
  • 37 Downloads

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.

Keywords

Magneto-micropolar fluids Boundary control problem Optimality system 

Mathematics Subject Classification (2010)

35Q35 76D03 76D55 

Notes

Acknowledgements

E. Mallea-Zepeda was supported by Proyecto UTA-Mayor, 4740-18, Universidad de Tarapacá (Chile).

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Departamento de MatemáticaUniversidad de TarapacáAricaChile
  2. 2.Departamento de MatemáticasUniversidad Católica del NorteAntofagastaChile

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