Author(s)

J.P. Lukaszczyk & J.L. Boldrini

Abstract

In this work we study a Navier-Stokes type equation which models the flow of a viscous, homogeneous and incompressible fluid in an isotropic granular (non consolidated) porous media. Using point fixed type arguments we obtain conditions for existence and unicity of solution for the equation in Holder's spaces. 1 Introduction In this work we will show results of existence and unicity of solution for the following system which represents the flow of a fluid in a granulated porus media, for example, if we put water in a box of sand, the water will flow through the sand with the action of gravity: r, -f p u-Vl — - //A% + nVp + juF(n)u = png , in Q? l^V = 0, in QT

Keywords