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Higher-order regularity of solutions to the large scale moist atmosphere system

Analysis of PDEs 2022-10-25 v1 Mathematical Physics math.MP

Abstract

In this paper, we study the higher-order regularity of solutions to the large scale moist atmosphere system through the way of pp-strong solutions. On the basis of the well-posedness results of strong solutions, we first improve the regularity of solutions in the vertical direction, and then improve the regularity in the horizontal direction. Thus we obtain the well-posedness of solutions in H2H^{2} space.

Keywords

Cite

@article{arxiv.2210.12734,
  title  = {Higher-order regularity of solutions to the large scale moist atmosphere system},
  author = {Shenyang Tan and Wenjun Liu},
  journal= {arXiv preprint arXiv:2210.12734},
  year   = {2022}
}

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15 pages