Darcy-Brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary condition.
Darcy's law in anisothermic porous medium.
Degenerate two-phase incompressible flow problems III: Perturbation analysis and numerical experiments.
Derivation of models of compressible miscible displacement in partially fractured reservoirs.
Diffusion with dissolution and precipitation in a porous medium: Mathematical analysis and numerical approximation of a simplified model
Modeling the kinetics of a precipitation dissolution reaction occurring in a porous medium where diffusion also takes place leads to a system of two parabolic equations and one ordinary differential equation coupled with a stiff reaction term. This system is discretized by a finite volume scheme which is suitable for the approximation of the discontinuous reaction term of unknown sign. Discrete solutions are shown to exist and converge towards a weak solution of the continuous problem. Uniqueness...
Dual variable methods for mixed-hybrid finite element approximation of the potential fluid flow problem in porous media.
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.