Reaction-diffusion equation on thin porous media
Abstract
We consider a reaction-diffusion equation on a 3D thin porous media of thickness ε which is perforated by periodically distributed cylinders of size ε. On the boundary of the cylinders we prescribe a dynamical boundary condition of pure-reactive type. As ε → 0, in the 2D limit the resulting reaction-diffusion equation has a source term coming from the dynamical-type boundary conditions imposed on boundaries of the original 3D domain.
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