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Applicable Analysis
An International Journal
Volume 71, 1998 - Issue 1-4
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Original Articles

Homogenization of Boundary-Value Problem in a Locally Periodic Perforated Domain

Gregory A. Chechkin Department of Differential equations Faculty of Mechanics and Mathematics, Moscow State University, Russia, Moscow, 119899View further author information
&
Andrey L. Piatnitski Lebedev Phisycal Institute, Russian Academy of Sciencies, Russia, Moscow, 117924View further author information
Pages 215-235 | Received 01 Jun 1998, Published online: 20 Jan 2011
 
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Abstract

We consider a model homogenization problem for the Poisson equation in a locally periodic perforated domain with the smooth exterior boundary, the Fourier boundary condition being posed on the boundary of the holes. In the paper we construct the leading terms of formal asymptotic expansion. Then, we justify the asymptotics obtained and estimate the residual.

Additional information

Notes on contributors

Gregory A. Chechkin

1

Andrey L. Piatnitski

♯

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