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Unfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary

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Arrietay, J.M. and Villanueva Pesquera, M. (2016) Unfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary. SIAM Journal on Mathematical Analysis, 48 (3). pp. 1634-1671. ISSN 00361410

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Official URL: http://epubs.siam.org/doi/pdf/10.1137/15M101600X



Abstract

We analyze the behavior of solutions of the Poisson equation with homogeneous Neumann boundary conditions in a two-dimensional thin domain which presents locally periodic oscillations at the boundary. The oscillations are such that both the amplitude and period of the oscillations may vary in space. We obtain the homogenized limit problem and a corrector result by extending the unfolding operator method to the case of locally periodic media.


Item Type:Article
Uncontrolled Keywords:Homogenization; Locally periodic; Oscillatory boundary; Thin domain; Unfolding method; Varying period.
Subjects:Sciences > Mathematics
ID Code:39275
Deposited On:07 Oct 2016 12:07
Last Modified:12 Dec 2018 15:12

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