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math.AP2023
Effective models for generalized Newtonian fluids through a thin porous medium following the Carreau law
Maria Anguiano, Matthieu Bonnivard, Francisco Javier Suarez-Grau
We consider the flow of a generalized Newtonian fluid through a thin porous medium of thickness , perforated by periodically distributed solid cylinders of size . We assume t…
math.AP2023
On the instability of travelling wave solutions for the transport-Stokes equation
Matthieu Bonnivard, Amina Mecherbet
In this paper, we investigate the instability of the spherical travelling wave solutions for the Transport-Stokes system in . First, a classical scaling argument ensu…