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Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy

Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy

We introduce a family of vector kinetic BGK equations leading to isentropic gas dynamics in the relaxation limit, that have only one entropy at the kinetic level.These models possess the generic structure of kinetic relaxation models.By a sharp adaptation of averaging lemmas to BGK models that have a dissipative entropy, …