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Published in 2018 at "Science China Mathematics"
DOI: 10.1007/s11425-016-9083-x
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…
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Keywords:
vlasov maxwell;
maxwell boltzmann;
angular singularity;
boltzmann system ... See more keywords
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Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.03.004
Abstract: Abstract The purpose of this paper is to study the nonlinear stability of rarefaction waves for the one-dimensional bipolar Vlasov-Poisson-Boltzmann system with hard potentials. To this end, we first construct the global solutions near a…
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Keywords:
boltzmann system;
stability rarefaction;
vlasov poisson;
bipolar vlasov ... See more keywords
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Published in 2017 at "Journal of Mathematical Physics"
DOI: 10.1063/1.4985935
Abstract: In this paper, we study the future global existence and late-time behaviour of the Einstein-Boltzmann system with Bianchi I symmetry and a positive cosmological constant Λ>0. For the Boltzmann equation, we consider the scattering kernel…
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Keywords:
bianchi solutions;
cosmological constant;
positive cosmological;
boltzmann system ... See more keywords