Homogenization of a Locally Periodic Oscillating Boundary

Aiyappan, S. and Pettersson, K. (2022) Homogenization of a Locally Periodic Oscillating Boundary. Applied Mathematics & Optimization, 86 (2). ISSN 0095-4616

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This paper deals with the homogenization of a mixed boundary value problem for the Laplace operator in a domain with locally periodic oscillating boundary. The Neumann condition is prescribed on the oscillating part of the boundary, and the Dirichlet condition on a separate part. It is shown that the homogenization result holds in the sense of weak L2 convergence of the solutions and their flows, under natural hypothesis on the regularity of the domain. The strong L2 convergence of average preserving extensions of the solutions and their flows is also considered. © 2022, The Author(s).

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IITH Creators:
IITH CreatorsORCiD
Item Type: Article
Uncontrolled Keywords: Asymptotic analysis; Homogenization; Locally periodic boundary; Oscillating boundary; Periodic unfolding
Subjects: Mathematics
Divisions: Department of Mathematics
Depositing User: . LibTrainee 2021
Date Deposited: 18 Jul 2022 08:04
Last Modified: 18 Jul 2022 08:04
URI: http://raiith.iith.ac.in/id/eprint/9758
Publisher URL: http://doi.org/10.1007/s00245-022-09873-0
OA policy: https://v2.sherpa.ac.uk/id/publication/28047
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