The VlasovPoissonBoltzmann system in the whole space: The hard potential case

Renjun Duan Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43952

Journal of Differential Equations, 252, (12), 6356-6386, 2012.6
This paper is concerned with the Cauchy problem on the VlasovPoissonBoltzmann system for hard potentials in the whole space. When the initial data is a small perturbation of a global Maxwellian, a satisfactory global existence theory of classical solutions to this problem, together with the corresponding temporal decay estimates on the global solutions, is established. Our analysis is based on time-decay properties of solutions and a new timevelocity weight function which is designed to control the large-velocity growth in the nonlinear term for the case of non-hard-sphere interactions.
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@inproceedings{renjun2012the,
  title={The VlasovPoissonBoltzmann system in the whole space: The hard potential case},
  author={Renjun Duan, Tong Yang, and Huijiang Zhao},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224210855372688516},
  booktitle={Journal of Differential Equations},
  volume={252},
  number={12},
  pages={6356-6386},
  year={2012},
}
Renjun Duan, Tong Yang, and Huijiang Zhao. The VlasovPoissonBoltzmann system in the whole space: The hard potential case. 2012. Vol. 252. In Journal of Differential Equations. pp.6356-6386. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224210855372688516.
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