Faculty of Physics - University of Bucharest

UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2024-11-27 10:56

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Conference: Bucharest University Faculty of Physics 2009 Meeting

Section: Theoretical Physics and Applied Mathematics Seminar

Title:

Homogenization Results for Changing Type Equations

Authors:

Claudia Timofte

Affiliation:

Faculty of Physics, University of Bucharest, P.O. Box MG-11,

Bucharest-Magurele, Romania

E-mail

claudiatimofte@yahoo.com

Keywords:

homogenization, heat diffusion, changing-type equations.

Abstract:

The effective behavior of the solution of a changing-type semilinear evolution equation modeling thermal diffusion in some heterogeneous periodic media is analyzed. We consider a heat equation, with highly oscillating coefficients, with nonlinear sources and with suitable boundary and initial conditions. Using an homogenization procedure, we prove that the effective behavior of the solution of such a problem is governed by a new partial differential equation, which can be of parabolic or elliptic type.