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Local Well-posedness of Strong Solutions to the Three-dimensional Compressible Primitive Equations

Kefeng Liu Edriss S Titi

Analysis of PDEs mathscidoc:1912.43114

arXiv preprint arXiv:1806.09868, 2018.6
This work is devoted to establishing the local-in-time well-posedness of strong solutions to the three-dimensional compressible primitive equations of atmospheric dynamics. It is shown that strong solutions exist, unique, and depend continuously on the initial data, for a short time in two cases: with gravity but without vacuum, and with vacuum but without gravity. We also introduce the free boundary problem for the compressible primitive equations.
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@inproceedings{kefeng2018local,
  title={Local Well-posedness of Strong Solutions to the Three-dimensional Compressible Primitive Equations},
  author={Kefeng Liu, and Edriss S Titi},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111627702385674},
  booktitle={arXiv preprint arXiv:1806.09868},
  year={2018},
}
Kefeng Liu, and Edriss S Titi. Local Well-posedness of Strong Solutions to the Three-dimensional Compressible Primitive Equations. 2018. In arXiv preprint arXiv:1806.09868. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111627702385674.
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