Some uniform elliptic estimates in a porous medium
Some uniform elliptic estimates in a porous medium
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DOI：
10.1016/j.crma.2004.10.007
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发表时间：
2004-12-15
影响因子：
0.8
通讯作者：
Masmoudi, N
中科院分区：
文献类型：
--
作者：
Masmoudi, N
在这篇注记中，我们给出了L-p空间中一些写在周期多孔介质中的椭圆型问题的一致椭圆估计(一致椭圆估计)。通过从光滑区omega中去除大小为epsilon的孔的栅格来获得区omega(Epsilon)。特别地，我们研究了Dirichlet问题、无散度向量场上的投影算子以及Stokes算子。我们还给出了问题div nu=f.(C)2004年科学院的估计。由Elsevier SAS出版。版权所有。
In this Note, we give uniform elliptic estimates (uniform in epsilon) for some elliptic problems written in a periodic porous medium (of period epsilon) in L-p spaces. The domain omega(epsilon) is obtained by removing a grid of holes of size epsilon from a smooth domain omega. 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 nu = f. (C) 2004 Academie des sciences. Published by Elsevier SAS. All rights reserved.