Robust control problems in fluid flows

T. Tachim Medjo; Louis Tcheugoue Tebou

doi:10.3934/dcds.2005.12.437

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2005, Volume 12, Issue 3: 437-463. Doi: 10.3934/dcds.2005.12.437

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Robust control problems in fluid flows

T. Tachim Medjo^1, and
Louis Tcheugoue Tebou^2,

1.
Department of Mathematics, Florida International University, DM413B, University Park, Miami, Florida 33199
2.
Department of Mathematics, Florida International University, University Park, Miami, Florida 33199

Received: August 31, 2003

Revised: July 31, 2004

Published: March 2005

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Abstract

In this article we study a class of robust control problems in fluid mechanics recently proposed in [5]. Using a method of [23], we provide another proof of the existence and the uniqueness of solutions to the robust control problems under weaker assumptions as compared to [5]. We also study the Newton method for the numerical solution of these control problems. We prove the convergence of the method and we obtain an estimate of the convergence rate.

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Mathematics Subject Classification: 49M15, 35Q30, 76D05, 76D55.

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