The Boltzmann-BGK model with nontrivial collision frequency near vacuum

Sungsu Park, Seok-Bae Yun

We study the Cauchy problem for the Boltzmann-BGK model in the three-dimensional whole space with nontrivial collision frequency $\nu (f)={\rho }^{\alpha }{T}^{\beta }$, where $\alpha \in (1/3,1]$, $\beta \in [0,1]$, an…