Global existence of renormalized solutions to Boltzmann equations with incoming boundary condition and non-cutoff kernel

Abstract

We prove the existence of global renormalized solutions to the Boltzmann equation in bounded domain with incoming boundary condition, with non-cutoff collision kernels. Thus we extend the results of \cite{villani2002noncutoff} for whole spaces or periodic domain to bounded domains endorsed with incoming boundary condition.

arXiv admin note: substantial text overlap with arXiv:1701.04144