3 papers
math.AP2025
Existence and stability of non-equilibrium steady states of a weakly non-linear kinetic Fokker-Planck equation in a domain
J Evans, R Medina
We study a weakly non-linear Fokker-Planck equation with BGK heat thermostats in a spatially bounded domain with conservative Maxwell boundary conditions, presenting a space-depend…
math.AP2025
Sub-exponential tails in biased run and tumble equations with unbounded velocities
Ãmeric Bouin, Josephine Evans, Luca Ziviani
Run and tumble equations are widely used models for bacterial chemotaxis. In this paper, we are interested in the long time behaviour of run and tumble equations with unbounded vel…
math.AP2024
Trend to equilibrium for run and tumble equations with non-uniform tumbling kernels
Josephine Evans, Havva YoldaÅ
We study the long-time behaviour of a run and tumble model which is a kinetic-transport equation describing bacterial movement under the effect of a chemical stimulus. The experime…