Effective pressure boundary condition for the filtration through porous medium via homogenization

The very first work concerning NBC was done by Solonnikov and ˇ Sˇ cadilov [10] for α = 0 where the authors considered stationary Stokes system with Dirichlet condition on some part

High order homogenization of the Stokes system in a periodic porous medium..

F ollowing [10℄, the hydrodynami dispersion is the averaged ma ros opi pi ture of the motion of the tra er parti les through the pore stru ture and of the hemi al rea tions of

These two types of problems are (i) periodic homogenization problems for fully nonlinear, second-order elliptic partial differential equations set in a half-space and (ii)

Homogenization of the linearized ionic transport equations in rigid periodic porous media.. Grégoire Allaire, Andro Mikelic,

upper three meters of the northern Siberia soils ( McGuire et al., 2009 ) and a signi ficant fraction of this organic carbon may be delivered by river discharge into the Arctic

We present in this note the existence and uniqueness results for the Stokes and Navier-Stokes equations which model the laminar flow of an incompressible fluid inside a

[12] Marius Mitrea and Sylvie Monniaux, On the analyticity of the semigroup generated by the Stokes operator with Neumann-type boundary conditions on Lipschitz subdomains of