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math.AP2026
Brinkman's term for the steady-state Navier-Stokes equations with prescribed flux rate or pressure drop in perforated pipes
Richard M. Höfer, Amina Mecherbet, Gianmarco Sperone
The steady motion of a viscous incompressible fluid in a distorted pipe, containing several small particles of diameter $\eps^3$ and mutual distance $\eps$, is modeled through the…
math.AP2024
Analysis of a sedimenting suspension near a vertical wall
David Gérard-Varet, Amina Mecherbet
We consider a sedimenting suspension in a Stokes flow, in the presence of a vertical wall. We study the effect of a particle-depleted fluid layer near the wall on the bulk dynamics…
math.AP2016★ 4 cited
Lp estimates for the homogenization of stokes problem in a perforated domain
Amina Mecherbet, Matthieu Hillairet
In this paper, we consider the Stokes equations in a perforated domain. When the number of holes increases while their radius tends to 0, it is proven in [L. Desvillettes, F. Golse…