Le. Payne et Jc. Song, SPATIAL DECAY-ESTIMATES FOR THE BRINKMAN AND DARCY FLOWS IN A SEMIINFINITE CYLINDER, Continuum mechanics and thermodynamics, 9(3), 1997, pp. 175-190
The flow of a fluid through a porous medium is often modeled by the Br
inkman or the Darcy system. In this paper we investigate Saint-Venant
type decay of solutions for both systems when the medium is confined t
o a semi-infinite cylinder and appropriate homogeneous initial and bou
ndary values are assumed.