Now showing items 1-2 of 2

• #### Asymptotic behaviour of neuron population models structured by elapsed-time ﻿

(2019-01-04)
We study two population models describing the dynamics of interacting neurons, initially proposed by Pakdaman et al (2010 Nonlinearity 23 55–75) and Pakdaman et al (2014 J. Math. Neurosci. 4 1–26). In the first model, the ...
• #### Hypocoercivity of linear kinetic equations via Harris's Theorem ﻿

(2019-02-27)
We study convergence to equilibrium of the linear relaxation Boltzmann (also known as linear BGK) and the linear Boltzmann equations either on the torus $(x,v) \in \mathbb{T}^d \times \mathbb{R}^d$ or on the whole ...