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Optimal convergence rates of Landau equation with external forcing in the whole space

Tong Yang Yu Hongjun

Analysis of PDEs mathscidoc:1912.43975

Acta Mathematica Scientia, 29, (4), 1035-1062, 2009.7
In this paper, we combine the method of constructing the compensating function introduced by Kawashima and the standard energy method for the study on the Landau equation with external forcing. Both the global existence of solutions near the time asymptotic states which are local Maxwellians and the optimal convergence rates are obtained. The method used here has its own advantage for this kind of studies because it does not involve the spectrum analysis of the corresponding linearized operator.
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@inproceedings{tong2009optimal,
  title={Optimal convergence rates of Landau equation with external forcing in the whole space},
  author={Tong Yang, and Yu Hongjun},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211015684269539},
  booktitle={Acta Mathematica Scientia},
  volume={29},
  number={4},
  pages={1035-1062},
  year={2009},
}
Tong Yang, and Yu Hongjun. Optimal convergence rates of Landau equation with external forcing in the whole space. 2009. Vol. 29. In Acta Mathematica Scientia. pp.1035-1062. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211015684269539.
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