# American Institute of Mathematical Sciences

April  2005, 12(3): 437-463. doi: 10.3934/dcds.2005.12.437

## Robust control problems in fluid flows

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

Received  September 2003 Revised  August 2004 Published  December 2004

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.
Citation: T. Tachim Medjo, Louis Tcheugoue Tebou. Robust control problems in fluid flows. Discrete & Continuous Dynamical Systems - A, 2005, 12 (3) : 437-463. doi: 10.3934/dcds.2005.12.437
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