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Article Dans Une Revue Journal of the Institute of Mathematics of Jussieu Année : 2018

Lp estimates for the homogenization of stokes problem in a perforated domain

Résumé

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 and V. Ricci. The mean field limit for solid particles in a Navier-Stokes flow. J. Stat. Phys. 131: 941-967, 2008], under suitable dilution assumptions, that the solution is well-approximated asymptotically by solving a Stokes-Brinkman equation. We provide here quantitative estimates in L p-norms of this convergence.
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Dates et versions

hal-01398706 , version 1 (17-11-2016)

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Amina Mecherbet, Matthieu Hillairet. Lp estimates for the homogenization of stokes problem in a perforated domain. Journal of the Institute of Mathematics of Jussieu, 2018, 17 (2), pp.425-440. ⟨10.1017/S1474748016000062⟩. ⟨hal-01398706⟩
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