Oscillating pde in a rough domain with a curved interface: Homogenization of an optimal control problem

Nandakumaran, AK and Sufian, A (2021) Oscillating pde in a rough domain with a curved interface: Homogenization of an optimal control problem. In: ESAIM - Control, Optimisation and Calculus of Variations, 27 .

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Abstract

Homogenization of an elliptic PDE with periodic oscillating coefficients and associated optimal control problems with energy type cost functional is considered. The domain is a 3-dimensional region (method applies to any n dimensional region) with oscillating boundary, where the base of the oscillation is curved and it is given by a Lipschitz function. Further, we consider general elliptic PDE with oscillating coefficients. We also include very general type functional of Dirichlet type given with oscillating coefficients which can be different from the coefficient matrix of the equation. We introduce appropriate unfolding operators and approximate unfolded domain to study the limiting analysis. The present article is new in this generality. © 2021 EDP Sciences, SMAI.

Item Type:	Journal Article
Publication:	ESAIM - Control, Optimisation and Calculus of Variations
Publisher:	EDP Sciences
Additional Information:	The copyright for this article belongs to EDP Sciences
Keywords:	Control engineering; Optimization, 3-dimensional; Coefficient matrix; Cost functionals; Curved interface; Dirichlet type; Lipschitz functions; Optimal control problem; Oscillating boundaries, Optimal control systems
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	24 Mar 2021 09:34
Last Modified:	24 Mar 2021 09:34
URI:	http://eprints.iisc.ac.in/id/eprint/68532

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