Electron. J. Diff. Eqns., Vol. 2002(2002), No. 27, pp. 132.
Optimal control and homogenization in a mixture of fluids
separated by a rapidly oscillating interface
Hakima Zoubairi
Abstract:
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
F57045 Metz, France.
email: zoubairi@poncelet.univmetz.fr

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