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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-25 0:05 |
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Conference: Bucharest University Faculty of Physics 2010 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
On the Asymptotic Behavior of Some Elliptic Problems in Perforated Domains
Authors:
Claudia Timofte
Affiliation:
Faculty of Physics, University of Bucharest, P.O. Box MG-11, Bucharest, Romania
E-mail
claudiatimofte@yahoo.com
Keywords:
homogenization, perforated domains, nonlinear boundary conditions.
Abstract:
The asymptotic behavior of the solution of a class of elliptic problems modeling thermal diffusion in some periodic perforated media is analyzed.
We consider, at the microscale, an elliptic equation with various nonlinear conditions prescribed on the boundary of the perforations and we prove that the effective behavior of the solution of such a problem is governed by another elliptic equation, which, depending on the type of the conditions imposed on the surface of the cavities, can contain extra zero-order terms.
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