Large-time behavior of solutions to a reaction-diffusion system with distributed microstructure
نویسندگان
چکیده
We study the large-time behavior of a class of reaction-diffusion systems with constant distributed microstructure arising when modeling diffusion and reaction in structured porous media. The main result of this Note is the following: As t→∞ the macroscopic concentration vanishes, while the microscopic concentrations reach constant concentration profiles independent of the shape of the microstructure. Résumé Comportément en grands temps pour un système de réaction et de diffusion ayant une microstructure distribuée. On étudie le comportement en grands temps pour un système de réaction et de diffusion, dont la microstructure est distribuée uniformement dans l’ éspace. Le résultat principal de cette Note est le suivant : On montre que la concentration macroscopique converge, en grands temps, vers zero et que les concentrations microscopiques devient des constantes indépendentes du choix de la microstructure.
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