In this paper we present a rigorous derivation of the effective model for enhanced diffusion through a narrow and long 2D pore. The analysis uses the anisotropic singular perturbation technique.â€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2002

We study the thermodynamics and the collapse of a self-gravitating gas of Brownian particles. We consider a high-friction limit in order to simplify the problem. This results in theâ€¦ (More)

We derive a new model for seawater intrusion phenomena in free aquifers. It combines the efficiency of the sharp interface approach with the physical realism of the diffuse interface one. Moreâ€¦ (More)

We simulate a diffuse interface model issuing from a seawater intrusion problem in a confined aquifer. We first use a P1 finite element method for which we establish error estimates for any solutionâ€¦ (More)