TY - JOUR
T1 - Some uniform elliptic estimates in a porous medium
AU - Masmoudi, Nader
PY - 2004/12/15
Y1 - 2004/12/15
N2 - 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.
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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U2 - 10.1016/j.crma.2004.10.007
DO - 10.1016/j.crma.2004.10.007
M3 - Article
AN - SCOPUS:10644275852
SN - 1631-073X
VL - 339
SP - 849
EP - 854
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 12
ER -