E. Marusicpaloka, ASYMPTOTIC-EXPANSION FOR A FLOW IN A PERIODIC POROUS-MEDIUM, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 325(7), 1997, pp. 369-374
We consider a fluid flow in a porous medium Omega(epsilon), with a cha
racteristic pore size E. Starring from the Navier-Stokes equations on
the microscopic level and using the homogenization method we find the
correctors for the classical Darcy's law governing the macroscopic flo
w.