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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 2:15 |
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Conference: Bucharest University Faculty of Physics 2003 Meeting
Section: Theoretical Physics and Applied Mathematics Seminar
Title:
On the Homogenization of Parabolic Problems with
Dynamical Boundary Conditions in Perforated Media
Authors:
Claudia Timofte
Affiliation:
Department of Mathematics, Faculty of Physics,
University of Bucharest,
P.O. Box MG-11, Bucharest-Magurele, Romania.
E-mail: claudiatimofte@hotmail.com
E-mail
Keywords:
Abstract:
The aim of this paper is to study the asymptotic behavior of the solution of a parabolic dynamical boundary-value problem in a periodically perforated domain. The domain is considered to be a fixed bounded open set, in which identical and periodically distributed perforations (holes)
are made. In the perforated domain we consider a heat equation, with a Dirichlet condition on the exterior boundary and a dynamical boundary condition on the surface of the holes. The limit equation, when the size of the
perforations goes to zero, is also a heat equation with constant coefficients, but with extra-terms coming from the influence of the non-homogeneous dynamical boundary condition.
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