On the Newton method in robust control of fluid flow

T. Tachim Medjo

doi:10.3934/dcds.2003.9.1201

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2003, Volume 9, Issue 5: 1201-1222. Doi: 10.3934/dcds.2003.9.1201

This issue Previous Article Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion Next Article A spectral characterization of exponential stability for linear time-invariant systems on time scales

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

Received: March 31, 2002

Revised: January 31, 2003

Published: August 2003

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Abstract

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.

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Mathematics Subject Classification: 65N12, 49K35, 76D55.

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