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- W4309567153 abstract "We consider the homogenisation of a coupled reaction–diffusion process in a porous medium with evolving microstructure. A concentration-dependent reaction rate at the interface of the pores with the solid matrix induces a concentration-dependent evolution of the domain. Hence, the evolution is fully coupled with the reaction–diffusion process. In order to pass to the homogenisation limit, we employ the two-scale-transformation method. Thus, we homogenise a highly non-linear problem in a periodic and in time cylindrical domain instead. The homogenisation result is a reaction–diffusion equation, which is coupled with an internal variable, representing the local evolution of the pore structure. • Two-scale transformation for a priori not given microscopic domain evolution. • Homogenisation of a highly non-linear system by means of two-scale convergence. • Evolution of the pore space induced by the solution of the reaction–diffusion equation." @default.
- W4309567153 created "2022-11-28" @default.
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- W4309567153 date "2023-02-01" @default.
- W4309567153 modified "2023-09-29" @default.
- W4309567153 title "Homogenisation of local colloid evolution induced by reaction and diffusion" @default.
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- W4309567153 doi "https://doi.org/10.1016/j.na.2022.113168" @default.
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