30 citations · 111 across the 17 of their papers we have counts for
19 papers
Convergence and long-time behavior of finite volumes for a generalized Poisson-Nernst-Planck system with cross-diffusion and size exclusion
Clément Cancès, Maxime Herda, Annamaria Massimini
We present a finite volume scheme for modeling the diffusion of charged particles, specifically ions, in constrained geometries using a degenerate Poisson-Nernst-Planck system with…
On a Vlasov-Fokker-Planck equation for stored electron beams
Ludovic Cesbron, Maxime Herda
In this paper we study a self-consistent Vlasov-Fokker-Planck equations which describes the longitudinal dynamics of an electron bunch in the storage ring of a synchrotron particle…
Wasserstein contraction for the stochastic Morris-Lecar neuron model
Maxime Herda, Pierre Monmarché, Benoît Perthame
Neuron models have attracted a lot of attention recently, both in mathematics and neuroscience. We are interested in studying long-time and large-population emerging properties in…
Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells
Dilara Abdel, Claire Chainais-Hillairet, Patricio Farrell +1
In this paper, we consider a drift-diffusion charge transport model for perovskite solar cells, where electrons and holes may diffuse linearly (Boltzmann approximation) or nonlinea…
Study of an entropy dissipating finite volume scheme for a nonlocal cross-diffusion system
Maxime Herda, Antoine Zurek
In this paper we analyse a finite volume scheme for a nonlocal version of the Shigesada-Kawazaki-Teramoto (SKT) cross-diffusion system. We prove the existence of solutions to the s…
On a structure-preserving numerical method for fractional Fokker-Planck equations
Nathalie Ayi, Maxime Herda, Hélène Hivert +1
In this paper, we introduce and analyse numerical schemes for the homogeneous and the kinetic Lévy-Fokker-Planck equation. The discretizations are designed to preserve the main fea…