Moment classification of infinite energy solutions to the homogeneous Boltzmann equation

Yoshinori Morimoto Shuaikun Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43989

Analysis and Applications, 15, (3), 391-411, 2017.5
In this paper, we will introduce a precise classification of characteristic functions in the Fourier space according to the moment constraint in the physical space of any order. Based on this, we construct measure-valued solutions to the homogeneous Boltzmann equation with the exact moment condition as the initial data.
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@inproceedings{yoshinori2017moment,
  title={Moment classification of infinite energy solutions to the homogeneous Boltzmann equation},
  author={Yoshinori Morimoto, Shuaikun Wang, and Tong Yang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211103705075553},
  booktitle={Analysis and Applications},
  volume={15},
  number={3},
  pages={391-411},
  year={2017},
}
Yoshinori Morimoto, Shuaikun Wang, and Tong Yang. Moment classification of infinite energy solutions to the homogeneous Boltzmann equation. 2017. Vol. 15. In Analysis and Applications. pp.391-411. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211103705075553.
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