The non-cutoff Vlasov-Maxwell-Boltzmann system with weak angular singularity
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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… read more here.
Keywords: vlasov maxwell; maxwell boltzmann; angular singularity; boltzmann system ... See more keywords
Stability of rarefaction waves for the bipolar Vlasov-Poisson-Boltzmann system with hard potentials
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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… read more here.
Keywords: boltzmann system; stability rarefaction; vlasov poisson; bipolar vlasov ... See more keywords
Bianchi I solutions of the Einstein-Boltzmann system with a positive cosmological constant
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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… read more here.
Keywords: bianchi solutions; cosmological constant; positive cosmological; boltzmann system ... See more keywords