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
@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/}
}
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%A Zoubairi,  Hakima
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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/