WEAK NONLINEAR CORRECTIONS FOR DARCYS-LAW

Authors
BOURGEAT A MARUSICPALOKA E MIKELIC A
Citation
A. Bourgeat et al., WEAK NONLINEAR CORRECTIONS FOR DARCYS-LAW, Mathematical models and methods in applied sciences, 6(8), 1996, pp. 1143-1155
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
6
Issue
8
Year of publication
1996
Pages
1143 - 1155
Database
ISI
SICI code
0218-2025(1996)6:8<1143:WNCFD>2.0.ZU;2-7
Abstract
We consider the Navier-Stokes system in a periodic porous medium Omega (epsilon) where epsilon is the characteristic pore size. The viscosity is of order epsilon(beta) With 0 less than or equal to beta less than or equal to 3/2, sufficiently close to the critical exponent beta = 3 /2. An asymptotic expansion for the velocity and the pressure, in term s of the local Reynolds number Re-epsilon = epsilon(3-2 beta) is set a nd a second-order error estimate is proved.