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Homogenization of nonlinear reaction-diffusion equation with a large reaction term

Research paper by Grégoire Allaire, Andrey Piatnitski

Indexed on: 12 Feb '10Published on: 12 Feb '10Published in: ANNALI DELL'UNIVERSITA' DI FERRARA



Abstract

This paper deals with the homogenization of a second order parabolic operator with a large nonlinear potential and periodically oscillating coefficients of both spatial and temporal variables. Under a centering condition for the nonlinear zero-order term, we obtain the effective problem and prove a convergence result. The main feature of the homogenized equation is the appearance of a non-linear convection term.