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The non-cutoff Vlasov-Maxwell-Boltzmann system with weak angular singularity

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We establish the global existence of small-amplitude solutions near a global Maxwellian to the Cauchy problem of the Vlasov-Maxwell-Boltzmann system for non-cutoff soft potentials with weak angular singularity. This extends… Click to show full abstract

We establish the global existence of small-amplitude solutions near a global Maxwellian to the Cauchy problem of the Vlasov-Maxwell-Boltzmann system for non-cutoff soft potentials with weak angular singularity. This extends the work of Duan et al. (2013), in which the case of strong angular singularity is considered, to the case of weak angular singularity.

Keywords: vlasov maxwell; maxwell boltzmann; angular singularity; boltzmann system; weak angular; singularity

Journal Title: Science China Mathematics
Year Published: 2018

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