3 papers
math.AP2025
On a class of nonlinear BGK-type kinetic equations with density dependent collision rates
Josephine Evans, Daniel Morris, Havva Yoldaş
We consider a class of nonlinear, spatially inhomogeneous kinetic equations of BGK-type with density dependent collision rates. These equations share the same superlinearity as the…
math.AP2022
Concentration in Lotka-Volterra parabolic equations: an asymptotic-preserving scheme
Vincent Calvez, Hélène Hivert, Havva Yoldaş
In this paper, we introduce and analyze an asymptotic-preserving scheme for Lotka-Volterra parabolic equations. It is a class of nonlinear and nonlocal stiff equations, which descr…
math.AP2018
Asymptotic behaviour of neuron population models structured by elapsed-time
José A. Cañizo, Havva Yoldaş
We study two population models describing the dynamics of interacting neurons, initially proposed by Pakdaman, Perthame, and Salort (2010, 2014). In the first model, the structurin…