Homogenization of a reaction-diffusion-advection problem in an evolving micro-domain and including nonlinear boundary conditions
نویسندگان
چکیده
• Rigorous homogenization of parabolic problems in evolving micro-domains. Reaction-diffusion-advection equations with nonlinear boundary conditions. Strong two-scale compactness result Kolmogorov-Simon-type. We consider a reaction-diffusion-advection problem perforated medium, reactions the bulk and at microscopic boundary, slow diffusion scaling. The microstructure changes time; microstructural evolution is known priori . aim paper rigorous derivation homogenized model. use appropriately scaled function spaces, which allow us to show results, especially regarding time-derivative we prove strong results Kolmogorov-Simon-type, pass limit terms. derived macroscopic model depends on micro- macro-variable, underlying approximated by time- space-dependent reference elements.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2021
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2021.04.013