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September  2003, 9(5): 1201-1222. doi: 10.3934/dcds.2003.9.1201

On the Newton method in robust control of fluid flow

T. Tachim Medjo 1,

1. 

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

Received  April 2002 Revised  February 2003 Published  June 2003

In this article we consider the Newton method for the numerical solution of a class of robust control problems in fluid mechanics recently studied in [5]. We prove the local convergence of the algorithm and we obtain the rate of convergence of the method.
Keywords: robust control, Navier-Stokes., Newton method, fluid mechanics.
Mathematics Subject Classification: 65N12, 49K35, 76D5.
Citation: T. Tachim Medjo. On the Newton method in robust control of fluid flow. Discrete & Continuous Dynamical Systems - A, 2003, 9 (5) : 1201-1222. doi: 10.3934/dcds.2003.9.1201
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