Electron. J. Diff. Eqns., Vol. 2002(2002), No. 27, pp. 1-32.

Optimal control and homogenization in a mixture of fluids separated by a rapidly oscillating interface

Hakima Zoubairi

We study the limiting behaviour of the solution to optimal control problems in a mathematical mixture of two homogeneous viscous fluids. These fluids are separated by a rapidly oscillating periodic interface with constant amplitude. We show that the limit of the optimal control is the optimal control for the limiting problem

Submitted January 23, 2002. Published March 5, 2002.
Math Subject Classifications: 35B27, 35B37, 49J20, 76D07.
Key Words: Optimal control, homogenization, Stokes equations.

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Hakima Zoubairi
Departement de Mathematiques
Ile du Saulcy
ISGMP, Batiment A
F-57045 Metz, France.
e-mail: zoubairi@poncelet.univ-metz.fr

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