Asymptotic analysis of an interior optimal control problem governed by Stokes equations |
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Authors: | Swati Garg Bidhan Chandra Sardar |
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Affiliation: | Department of Mathematics, Indian Institute of Technology, Ropar, India |
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Abstract: | This article introduces an interior optimal control problem (OCP) in a two-dimensional domain with a highly oscillatory boundary governed by the stationary Stokes equations. We consider the periodic controls in the oscillating region of the domain and use the unfolding operators to characterize the optimal controls. We establish the convergences of optimal control, state, and pressure in a suitable space to the ones of the limit system in a fixed domain. |
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Keywords: | homogenization optimal control oscillating boundary Stokes equations unfolding operator |
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