UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2024-11-22 1:32

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Conference: Bucharest University Faculty of Physics 2005 Meeting


Section: Theoretical Physics and Applied Mathematics Seminar


Title:
Homogenization Results for Boundary Climatization Problems


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


Keywords:
homogenization, climatization, variational inequality, monotone graph.


Abstract:
This talk deals with the homogenization of a nonlinear model for heat conduction through the exterior of a domain containing periodically distributed conductive grains. We assume that on the walls of the grains we have climatizators governing the heat flux through the boundary. The effective behavior of this nonlinear flow is described by a new elliptic boundary-value problem, containing an extra zero-order term which captures the effect of the boundary climatization.