Local exact controllability to trajectories of the magneto-micropolar fluid equations

Cung The Anh; Vu Manh Toi

doi:10.3934/eect.2017019

Article Contents

2017, Volume 6, Issue 3: 357-379. Doi: 10.3934/eect.2017019

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Local exact controllability to trajectories of the magneto-micropolar fluid equations

Cung The Anh^1, , and
Vu Manh Toi^2,

1.
Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam
2.
Faculty of Computer Science and Engineering, Thuyloi University, 175 Tay Son, Dong Da, Hanoi, Vietnam

* Corresponding author: anhctmath@hnue.edu.vn
* Corresponding author: anhctmath@hnue.edu.vn

Received: January 2017

Revised: March 2017

Published: October 2017

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Abstract

In this paper we prove the exact controllability to trajectories of the magneto-micropolar fluid equations with distributed controls. We first establish new Carleman inequalities for the associated linearized system which lead to its null controllability. Then, combining the null controllability of the linearized system with an inverse mapping theorem, we deduce the local exact controllability to trajactories of the nonlinear problem.

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Mathematics Subject Classification: 93B05, 35Q35, 93C20.

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References

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