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

Ning Jiang; Xu Zhang

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

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arxiv 1701.04146 v1 pith:DSHXTKRM submitted 2017-01-16 math.AP

Ning Jiang , Xu Zhang This is my paper · ORCID

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keywords boundaryconditionincomingboltzmannboundeddomainexistenceglobal

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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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