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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
Émeric 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…