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Homogenization of nonlinear reaction-diffusion equation with a large reaction term. (English) Zbl 1205.35019

Summary: 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.

MSC:

35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
76M50 Homogenization applied to problems in fluid mechanics
35Q30 Navier-Stokes equations
76R50 Diffusion
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References:

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