Homogenization results for climatization problems

摘要

This paper 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.