  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.
