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Elliptic equations in highly heterogeneous porous media

✍ Scribed by Li-Ming Yeh

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
395 KB
Volume
33
Category
Article
ISSN
0170-4214

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✦ Synopsis

Uniform estimate and convergence for highly heterogeneous elliptic equations are concerned. The domain considered consists of a connected fractured subregion (with high permeability) and a disconnected matrix block subregion (with low permeability). Let e denote the size ratio of one matrix block to the whole domain and let the permeability ratio of the matrix block region to the fractured region be of the order e 2 . In the fractured region, uniform H âlder and uniform Lipschitz estimates in e of the elliptic solutions are derived; the convergence of the solutions in L ∞ norm is obtained as well.

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