Optimal Control and Homogenization in a Mixture of Fluids Separated by a Rapidly Oscillating Interface
Hakima Zoubairi · DOAJ (DOAJ: Directory of Open Access Journals) · 2002
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