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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-24 22:08 |
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Conference: Bucharest University Faculty of Physics 2007 Meeting
Section: Theoretical Physics and Applied Mathematics Seminar
Title:
Asymptotic Analysis of Diffusion Problems in Domains with Semipermeable Boundaries
Authors:
Claudia Timofte
Affiliation:
Department of Mathematics, Faculty of Physics, University of Bucharest, P.O. Box MG-11, Bucharest-Magurele, Romania
E-mail
claudiatimofte@yahoo.com
Keywords:
homogenization, reactive flows,
variational inequality, monotone graph.
Abstract:
The asymptotic behavior of the solutions of some nonlinear variational inequalities with highly oscillating coefficients modeling chemical reactive flows through the exterior of a domain containing periodically distributed reactive solid obstacles is analyzed. In this kind of boundary-value problems there are involved two distinct sources of oscillations, one coming from the geometrical structure of the domain and the other one from the fact that the medium is heterogeneous. We prove that the solution of such a boundary-value problem converges to the solution of a new problem, associated to an operator which is the sum of a standard homogenized one and extra zero order terms coming from the special geometry and the nonlinearity of the problem.
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