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An effective advection induced by oscillating microstructure in a diffusion equation

Published 20 May 2024 in math.AP | (2405.12108v1)

Abstract: 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 novel advection in the homogenised equations. Allowing for a locally varying geometry, the oscillating microstructure demonstrates the ability to generate arbitrary and locally varying advection velocity fields.

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Authors (1)

  1. David Wiedemann 

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