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arXiv · 1701.04146

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

Ning Jiang·Xu Zhang
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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.

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Ning Jiang, Xu Zhang. 2017-01-16. Global existence of renormalized solutions to Boltzmann equations with incoming boundary condition and non-cutoff kernel. https://arxiv.org/abs/1701.04146

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