8 citations · 8 across the 3 of their papers we have counts for
5 papers
A functional inequalities approach for the field-road diffusion model with (symmetric) nonlinear exchanges
Matthieu Alfaro, Claire Chainais-Hillairet, Flore Nabet
In this note, we consider the so-called field-road diffusion model in a bounded domain, consisting of two parabolic PDEs posed on sets of different dimensions and coupled through (…
Finite Volume Approximations for Non-Linear Parabolic Problems with Stochastic Forcing
Caroline Bauzet, Flore Nabet, Kerstin Schmitz +1
We propose a two-point flux approximation finite-volume scheme for a stochastic non-linear parabolic equation with a multiplicative noise. The time discretization is implicit excep…
Convergence of a finite-volume scheme for a heat equation with a multiplicative Lipschitz noise
Caroline Bauzet, Flore Nabet, Kerstin Schmitz +1
We study here the approximation by a finite-volume scheme of a heat equation forced by a Lipschitz continuous multiplicative noise in the sense of Itô. More precisely, we consider…
Finite Volume approximation of a two-phase two fluxes degenerate Cahn-Hilliard model
Clément Cancès, Flore Nabet
We study a time implicit Finite Volume scheme for degenerate Cahn-Hilliard model proposed in [W. E and P. Palffy-Muhoray. Phys. Rev. E, 55:R3844-R3846, 1997] and studied mathematic…
A two-phase two-fluxes degenerate Cahn-Hilliard model as constrained Wasserstein gradient flow
Clément Cancès, Daniel Matthes, Flore Nabet
We study a non-local version of the Cahn-Hilliard dynamics for phase separation in a two-component incompressible and immiscible mixture with linear mobilities. In difference to th…