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
Elementary preamble to a theory of granular gases
Energy balance of a model for lubricated oil transportation in a pipe.
Entropy solutions to the Buckley--Leverett equations.
Estimating inequalities for velocities of propagation and for effective densities in fluid mixtures.
Evolution of fluid-fluid interface in porous media as the model of gas-oil fields.
Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions.
Existence de solutions faibles pour un modèle d'écoulement triphasique en milieu poreux
Existence of solutions for a degenerate seawater intrusion problem.
Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids
Finite element approximation of a free boundary problem arising in the theory of liquid drops ans plasma physics
Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities
We study a one-dimensional model for two-phase flows in heterogeneous media, in which the capillary pressure functions can be discontinuous with respect to space. We first give a model, leading to a system of degenerated nonlinear parabolic equations spatially coupled by nonlinear transmission conditions. We approximate the solution of our problem thanks to a monotonous finite volume scheme. The convergence of the underlying discrete solution to a weak solution when the discretization step...
Flow of a dusty fluid due to wavy motion of a wall for moderately large Reynolds numbers.
Flow of an unsteady conducting dusty fluid through circular cylinder.
Fluid–particle shear flows
Our purpose is to estimate numerically the influence of particles on the global viscosity of fluid–particle mixtures. Particles are supposed to rigid, and the surrounding fluid is newtonian. The motion of the mixture is computed directly, i.e. all the particle motions are computed explicitly. Apparent viscosity, based on the force exerted by the fluid on the sliding walls, is computed at each time step of the simulation. In order to perform long–time simulations and still control the solid fraction,...
Fluid–particle shear flows
Our purpose is to estimate numerically the influence of particles on the global viscosity of fluid–particle mixtures. Particles are supposed to rigid, and the surrounding fluid is newtonian. The motion of the mixture is computed directly, i.e. all the particle motions are computed explicitly. Apparent viscosity, based on the force exerted by the fluid on the sliding walls, is computed at each time step of the simulation. In order to perform long–time simulations and still control the solid fraction,...
Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension
We present a fully adaptive multiresolution scheme for spatially one-dimensional quasilinear strongly degenerate parabolic equations with zero-flux and periodic boundary conditions. The numerical scheme is based on a finite volume discretization using the Engquist-Osher numerical flux and explicit time stepping. An adaptive multiresolution scheme based on cell averages is then used to speed up the CPU time and the memory requirements of the underlying finite volume scheme, whose first-order...
Gas exhalation and its calculations. I
Global size and shape estimates for symmetric sessile drops.