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math.AP2023
Trend to equilibrium for run and tumble equations with non-uniform tumbling kernels
Josephine Evans, Havva Yoldaş
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…
math.AP2023
Properties of Non-Equilibrium Steady States for the non-linear BGK equation on the torus
Josephine Evans, Angeliki Menegaki
We study the non-linear BGK model in 1d coupled to a spatially varying thermostat. We show existence, local uniqueness and linear stability of a steady state when the linear coupli…