Properties of Non-Equilibrium Steady States for the non-linear BGK equation on the torus

Autor:	Evans, Josephine, Menegaki, Angeliki
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics Mathematics - Probability 35Q79 35Q20 35Q49 35Q82 35A01 35A02 82C40 82C22 82C35 82C70 35B35 35B40
Druh dokumentu:	Working Paper
Popis:	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 coupling term is large compared to the non-linear self interaction term. This model possesses a non-explicit spatially dependent non-equilibrium steady state. We are able to successfully use hypocoercivity theory in this case to prove that the linearised operator around this steady state posesses a spectral gap. Comment: 41 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.01297 Zobrazit plný text záznamu View this record from Arxiv