Elliptic equations in highly heterogeneous porous media | Zendy

Yeh LiMing | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Elliptic equations in highly heterogeneous porous media

Author(s) -

Yeh LiMing

Publication year - 2009

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1163

Subject(s) - mathematics , lipschitz continuity , mathematical analysis , matrix (chemical analysis) , porous medium , norm (philosophy) , block (permutation group theory) , domain (mathematical analysis) , porosity , rate of convergence , convergence (economics) , lipschitz domain , elliptic curve , geometry , composite material , computer science , materials science , telecommunications , channel (broadcasting) , political science , law , economics , economic growth

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 ε 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 ε 2 . In the fractured region, uniform Hölder and uniform Lipschitz estimates in ε of the elliptic solutions are derived; the convergence of the solutions in L ∞ norm is obtained as well. Copyright © 2009 John Wiley & Sons, Ltd.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research