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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