On the Homogenization of a Diffusion Problem with Flux Jump
AbstractUsing the periodic unfolding method introduced in , the homogenization of a diffusion problem in a highly heterogeneous mediumВ formed by two constituents separated by an imperfect interface is studied. The main feature of our settingВ is represented byВ the discontinuity of the solution and of the flux. Depending on the magnitude and the formВ of these jumps, various models arise atВ the limit. Such models can beВ used for describing the calcium dynamics in biological cells and represent a generalization of some existing results in the literature (see -).
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