Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 27, pp. 1-32.

Title: Optimal control and  homogenization in  a mixture of fluids
       separated by a rapidly oscillating interface
   
Author: Hakima Zoubairi (Univ. de Metz, France)

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.