The existence of a non-equilibrium steady state for the BGK equation on an interval

Abstract: The BGK equation is a non-linear integro differential equation which models the behaviour of a dilute gas. We look at this equation posed on an interval where each end of the interval acts as a thermostatted wall with a given temperature. I will discuss how thermostatted walls can produce non-equilibrium steady states for spatially inhomogeneous kinetic equations and the mathematical challenges associated with this. I will also discuss our proof of existence of a steady state in a simple case. This is a joint work with Angeliki Menegaki.

analysis of PDEsclassical analysis and ODEs

Audience: researchers in the topic

Virtual Maxwell Analysis Seminar

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