187 citations · 1.1k across the 80 of their papers we have counts for
93 papers
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…
On the limit problem arising in the kinetic derivation of the Cahn-Hilliard equation
Charles Elbar, Benoît Perthame, Jakub Skrzeczkowski
The non-local degenerate Cahn-Hilliard equation is derived from the Vlasov equation with long-range attraction. We study the local limit as the delocalization parameter converges t…
Nonlocal Cahn-Hilliard equation with degenerate mobility: Incompressible limit and convergence to stationary states
Charles Elbar, Benoît Perthame, Andrea Poiatti +1
The link between compressible models of tissue growth and the Hele-Shaw free boundary problem of fluid mechanics has recently attracted a lot of attention. In most of these models,…
Structured Model Conserving Biomass for the Size-spectrum Evolution in Aquatic Ecosystems
Laura Kanzler, Benoit Perthame, Benoit Sarels
Mathematical modelling of the evolution of the size-spectrum dynamics in aquatic ecosystems was discovered to be a powerful tool to have a deeper insight into impacts of human- and…
Collective motion driven by nutrient consumption
Pierre-Emmanuel Jabin, Benoît Perthame
A classical problem describing the collective motion of cells, is the movement driven by consumption/depletion of a nutrient. Here we analyze one of the simplest such model written…
From Vlasov equation to degenerate nonlocal Cahn-Hilliard equation
Charles Elbar, Marco Mason, Benoît Perthame +1
We provide a rigorous mathematical framework to establish the hydrodynamic limit of the Vlasov model introduced by Noguchi and Takata in order to describe phase transition of fluid…