Title of article
Boundary homogenization in domains with randomly oscillating boundary
Author/Authors
Amirat، نويسنده , , Youcef and Bodart، نويسنده , , Olivier and Chechkin، نويسنده , , Gregory A. and Piatnitski، نويسنده , , Andrey L.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
23
From page
1
To page
23
Abstract
We consider a model homogenization problem for the Poisson equation in a domain with a rapidly oscillating boundary which is a small random perturbation of a fixed hypersurface. A Fourier boundary condition with random coefficients is imposed on the oscillating boundary. We derive the effective boundary condition, prove a convergence result, and establish error estimates.
Keywords
boundary homogenization , Effective boundary condition , Random oscillating boundary
Journal title
Stochastic Processes and their Applications
Serial Year
2011
Journal title
Stochastic Processes and their Applications
Record number
1578351
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