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math.AP2021
Homogenisation of the Stokes equations for evolving microstructure
David Wiedemann, Malte A. Peter
We consider the homogenisation of the Stokes equations in a porous medium which is evolving in time. At the interface of the pore space and the solid part, we prescribe an inhomoge…
math.AP2021
The two-scale transformation method
David Wiedemann
We prove the two-scale transformation method which allows rigorous homogenisation of problems defined on locally periodic domains by transformation on periodic domains. The idea to…