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math.AP2024
An effective advection induced by oscillating microstructure in a diffusion equation
David Wiedemann
We consider the homogenisation of a diffusion equation in a porous medium. The microstructure is time-dependent and oscillating on a small time scale. This oscillation causes a nov…
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,…