Estimations elliptiques uniformes dans unmilieu poreux

Nader Masmoudi

doi:10.1016/j.crma.2004.10.007

Estimations elliptiques uniformes dans unmilieu poreux

Translated title of the contribution: Some uniform elliptic estimates in a porous medium

Nader Masmoudi

Research output: Contribution to journal › Article › peer-review

Abstract

In this Note, we give uniform elliptic estimates (uniform in ε) for some elliptic problems written in a periodic porous medium (of period ε) in L^p spaces. The domain ω_ε is obtained by removing a grid of holes of size ε from a smooth domain ω. In particular, we study the Dirichlet problem, the projection operator onto divergence-free vector fields as well as the Stokes operator. We also give estimates for the problem div v = f.

Translated title of the contribution	Some uniform elliptic estimates in a porous medium
Original language	French
Pages (from-to)	849-854
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	339
Issue number	12
DOIs	https://doi.org/10.1016/j.crma.2004.10.007
State	Published - Dec 15 2004

ASJC Scopus subject areas

Mathematics(all)

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10.1016/j.crma.2004.10.007

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abstract = "In this Note, we give uniform elliptic estimates (uniform in ε) for some elliptic problems written in a periodic porous medium (of period ε) in Lp spaces. The domain ωε is obtained by removing a grid of holes of size ε from a smooth domain ω. In particular, we study the Dirichlet problem, the projection operator onto divergence-free vector fields as well as the Stokes operator. We also give estimates for the problem div v = f.",

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AB - In this Note, we give uniform elliptic estimates (uniform in ε) for some elliptic problems written in a periodic porous medium (of period ε) in Lp spaces. The domain ωε is obtained by removing a grid of holes of size ε from a smooth domain ω. In particular, we study the Dirichlet problem, the projection operator onto divergence-free vector fields as well as the Stokes operator. We also give estimates for the problem div v = f.

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Estimations elliptiques uniformes dans unmilieu poreux

Abstract

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