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math.AP2024
Rigorous derivation of an effective model for coupled Stokes advection, reaction and diffusion with freely evolving microstructure
Markus Gahn, Malte A. Peter, Iuliu Sorin Pop +1
We consider the homogenisation of a coupled Stokes flow and advection-reaction-diffusion problem in a perforated domain with an evolving microstructure of size . React…
math.AP2024
A Darcy law with memory by homogenisation for evolving microstructure
David Wiedemann, Malte A. Peter
We consider the homogenisation of the instationary Stokes equations in a porous medium with an a-priori given evolving microstructure. In order to pass to the homogenisation limit,…