Écoulements en milieu poreux n'obéissant pas à la loi de Darcy
Effective flow of micropolar fluid through a thin or long pipe.
Effective saturation for composite porous media
This paper is devoted to the study of the homogenization of a porous medium, composed of different materials arranged in a periodic structure. This provides the profile of the saturation function for the limit material.
Effects of gravity and inlet/outlet location on a two-phase cocurrent imbibition in porous media.
Elastic wave propagation in fluid-saturated porous media. Part I. The existence and uniqueness theorems
Elastic wave propagation in fluid-saturated porous media. Part II. The Galerkin procedures
Energy error estimates for a linear scheme to approximate nonlinear parabolic problems
Entropy solutions to the Buckley--Leverett equations.
Entropy solutions to the Verigin ultraparabolic problem.
Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes
We consider the lowest-order Raviart–Thomas mixed finite element method for second-order elliptic problems on simplicial meshes in two and three space dimensions. This method produces saddle-point problems for scalar and flux unknowns. We show how to easily and locally eliminate the flux unknowns, which implies the equivalence between this method and a particular multi-point finite volume scheme, without any approximate numerical integration. The matrix of the final linear system is sparse, positive...
Errata-Corrige : “Diffusion on viscous fluids. Existence and asymptotic properties of solutions”
Estimates of weighted Hölder norms of the solutions to a parabolic boundary value problem in an initially degenerate domain
A-priori estimates in weighted Hölder norms are obtained for the solutions of a one- dimensional boundary value problem for the heat equation in a domain degenerating at time t = 0 and with boundary data involving simultaneously the first order time derivative and the spatial gradient.
Evolution of fluid-fluid interface in porous media as the model of gas-oil fields.
Exact solutions of Rayleigh-Stokes problem for heated generalized Maxwell fluid in a porous half-space.
Existence and uniqueness of periodic solutions for a model of contaminant flow in porous medium.
Existence and uniqueness of solutions for a degenerate quasilinear parabolic problem.
We consider the following quasilinear parabolic equation of degenerate type with convection term ut = φ (u)xx + b(u)x in (-L,0) x (0,T). We solve the associate initial-boundary data problem, with nonlinear flux conditions. This problem describes the evaporation of an incompressible fluid from a homogeneous porous media. The nonlinear condition in x = 0 means that the flow of fluid leaving the porous media depends on variable meteorological conditions and in a nonlinear manner on u. In x = -L we...
Existence de solutions faibles pour un modèle d'écoulement triphasique en milieu poreux
Existence of solutions for a degenerate seawater intrusion problem.
Existence of solutions of a nonlinear system modelling fluid flow in porous media.
Extension of a regularity result concerning the dam problem
One proves, in the case of piecewise smooth coefficients, that the time derivative of the solution of the so called dam problem is a measure, extending the result proved by the same authors in the case of Lipschitz continuous coefficients.