Abstract
This paper is concerned with the construction of globally smooth solutions near a given global Maxwellian to the Cauchy problem of the Vlasov-Poisson-Boltzmann system for non-cutoff hard potentials in three space dimensions without the neutral condition imposed on the initial perturbation. Our analysis is based on the time-weighted energy method and some delicate estimates.
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Xiao, Q., Xiong, L. & Zhao, H. The Vlasov-Poisson-Boltzmann system for non-cutoff hard potentials. Sci. China Math. 57, 515–540 (2014). https://doi.org/10.1007/s11425-013-4712-z
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DOI: https://doi.org/10.1007/s11425-013-4712-z