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

2017/01/16 by Jiang, Ning, Zhang, Xu
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1701.04146

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 \citevillani2002noncutoff for whole spaces or periodic domain to bounded domains endorsed with incoming boundary condition.

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