Sardar, BC and Sufian, A (2021) Homogenization of a boundary optimal control problem governed by Stokes equations. In: Complex Variables and Elliptic Equations .
Full text not available from this repository.Abstract
This article considers an optimal control problem for the stationary Stokes system in a three-dimensional domain with a highly oscillating boundary. The controls are acting on the state through the Neumann data on the oscillating part of the boundary with appropriate scaling parameters (Formula presented.) with (Formula presented.). The periodic unfolding operators are used to characterize the optimal controls. Using the unfolding operators, we analyse the asymptotic behaviour of the optimal control problem under consideration. For (Formula presented.), the limit optimal control problem has both boundary and interior controls. For (Formula presented.), the limit optimal control problem has only boundary controls. © 2021 Informa UK Limited, trading as Taylor & Francis Group.
| Item Type: | Journal Article |
|---|---|
| Publication: | Complex Variables and Elliptic Equations |
| Publisher: | Taylor and Francis Ltd. |
| Additional Information: | The copyright for this article belongs to Taylor and Francis Ltd. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 28 Nov 2021 09:33 |
| Last Modified: | 28 Nov 2021 09:33 |
| URI: | http://eprints.iisc.ac.in/id/eprint/69974 |
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