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

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)111-136
Journal / PublicationScience China Mathematics
Volume61
Issue number1
Online published29 Sept 2017
Publication statusPublished - Jan 2018
Externally publishedYes

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.

Research Area(s)

  • global solutions near Maxwellians, non-cutoff Vlasov-Maxwell-Boltzmann system, time-velocity weighted energy method, weak angular singularity

Bibliographic Note

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Citation Format(s)

The non-cutoff Vlasov-Maxwell-Boltzmann system with weak angular singularity. / Fan, Yingzhe; Lei, Yuanjie; Liu, Shuangqian et al.
In: Science China Mathematics, Vol. 61, No. 1, 01.2018, p. 111-136.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review