2 papers
math.AP2026
A Fokker-Planck equation with superlinear drift at infinity for Integrate-and-Fire model
Benoît Perthame, Clément Rieutord, Delphine Salort
The Integrate-and-Fire model is a Fokker-Planck equation arising in neuroscience. It describes the evolution of the probability density of the neuronal membrane potential and fitti…
math.AP2025
Deriving sub-diffusion equations
Benoît Perthame, Min Tang
Sub-diffusion equations are used in a large range of applications including fluids, plasma physics and biology. Their mathematical analysis is advanced even if a much larger litera…