Optimal control and homogenization in a mixture of fluids separated by a rapidly oscillating interface
Electronic journal of differential equations, Tome 2002 (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
Classification :
35B27, 35B37, 49J20, 76D07
Keywords: optimal control, homogenization, Stokes equations
Keywords: optimal control, homogenization, Stokes equations
@article{EJDE_2002__2002__a180,
author = {Zoubairi, Hakima},
title = {Optimal control and homogenization in a mixture of fluids separated by a rapidly oscillating interface},
journal = {Electronic journal of differential equations},
year = {2002},
volume = {2002},
zbl = {1019.35011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a180/}
}
TY - JOUR AU - Zoubairi, Hakima TI - Optimal control and homogenization in a mixture of fluids separated by a rapidly oscillating interface JO - Electronic journal of differential equations PY - 2002 VL - 2002 UR - http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a180/ LA - en ID - EJDE_2002__2002__a180 ER -
Zoubairi, Hakima. Optimal control and homogenization in a mixture of fluids separated by a rapidly oscillating interface. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a180/