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

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 singulari...

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Bibliographic Details
Published inScience China. Mathematics Vol. 61; no. 1; pp. 111 - 136
Main Authors Fan, Yingzhe, Lei, Yuanjie, Liu, Shuangqian, Zhao, Huijiang
Format Journal Article
LanguageEnglish
Published Beijing Science China Press 2018
Springer Nature B.V
Subjects
Applications of Mathematics
Cauchy problems
Cut-off
Mathematics
Mathematics and Statistics
global solutions near Maxwellians
weak angular singularity
time-velocity weighted energy method
35Q83
non-cutoff Vlasov-Maxwell-Boltzmann system
35A01
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Summary: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.
Bibliography:non-cutoff Vlasov-Maxwell-Boltzmann system global solutions near Maxwellians weak angular singularity time-velocity weighted energy method
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.
11-5837/O1
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-016-9083-x