This paper is concerned with the study of homogenization of an optimal control problem governed by a second-order linear evolution equation with a homogeneous Neumann boundary condition in a domain bounded at the bottom by a smooth wall and at the top by a rough wall. The latter is assumed to consist in a plane wall covered with periodically distributed asperities, with a fixed height, whose size depends on a small parameter . We identify the limit problem and we remark that both limit state equation and limit cost are different from those ones at level.
Optimal control for a second-order linear evolution problem in a domain with oscillating boundary
FAELLA, Luisa;PERUGIA, Carmen
2015-01-01
Abstract
This paper is concerned with the study of homogenization of an optimal control problem governed by a second-order linear evolution equation with a homogeneous Neumann boundary condition in a domain bounded at the bottom by a smooth wall and at the top by a rough wall. The latter is assumed to consist in a plane wall covered with periodically distributed asperities, with a fixed height, whose size depends on a small parameter . We identify the limit problem and we remark that both limit state equation and limit cost are different from those ones at level.File in questo prodotto:
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