4 citations · 4 across the 7 of their papers we have counts for
13 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 (…
Existence of solutions and uniform bounds for the stationary semiconductor equations with generation and ionic carriers
Dilara Abdel, Alain Blaustein, Claire Chainais-Hillairet +2
We consider a stationary drift-diffusion system with ionic charge carriers and external generation of electron and hole charge carriers. This system arises, among other application…
Finite Volumes for a dissipative free boundary problem
Clément Cancès, Claire Chainais-Hillairet, Amélie Dupouy
We study a toy model for the evolution of the oxygen concentration in an oxide layer. It consists in a transient convection diffusion equation in a one-dimensional domain of variab…
Numerical analysis and simulation of lateral memristive devices: Schottky, ohmic, and multi-dimensional electrode models
Dilara Abdel, Maxime Herda, Martin Ziegler +3
In this paper, we present the numerical analysis and simulations of a multi-dimensional memristive device model. Memristive devices and memtransistors based on two-dimensional (2D)…
Cross-diffusion systems coupled via a moving interface
Clément Cancès, Jean Cauvin-Vila, Claire Chainais-Hillairet +1
We propose and study a one-dimensional model which consists of two cross-diffusion systems coupled via a moving interface. The motivation stems from the modelling of complex diffus…
Long time behavior of the field-road diffusion model: an entropy method and a finite volume scheme
Matthieu Alfaro, Claire Chainais-Hillairet
We consider the so-called field-road diffusion model in a bounded domain, consisting of two parabolic PDEs posed on sets of different dimensions (a {\it field} and a {\it road} in…