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 epsilon. We identify the limit problem and we remark that both limit state equation and limit cost are different from those ones at epsilon level.
|Titolo:||Optimal control problem for second order linear evolution problem in a domain with oscillating boundary|
|Data di pubblicazione:||2015|
|Appare nelle tipologie:||1.1 Articolo in rivista|