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arXiv · 2210.12734

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

Shenyang Tan·Wenjun Liu
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Abstract

In this paper, we study the higher-order regularity of solutions to the large scale moist atmosphere system through the way of $p$-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 $H^{2}$ space.

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Shenyang Tan, Wenjun Liu. 2022-10-23. Higher-order regularity of solutions to the large scale moist atmosphere system. https://arxiv.org/abs/2210.12734

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