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Publishing Language: Chinese | Open Access

Global existence and uniqueness of strong solution to the large-scale moist atmospheric dynamic equations

Jinxu LI1( ), Ruxu LIAN1,2, Jieqiong MA2
School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou Henan 450046
Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029
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Abstract

This paper studied the initial-boundary value problems to the large-scale moist atmospheric dynamic equations with the effects of topography. Assuming the initial data satisfies second-order regularity, by the energy method and iterative method, the global existence and uniqueness of strong solution with second-order regular can be proved.

Keywords

moist atmospheric dynamic equationssecond-order regularstrong solutiontopography

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Journal of Capital Normal University (Natural Science Edition)
Volume 46 Issue 3,
June 2025
Pages 1-9
DOI: 10.19789/j.1004-9398.2025.03.001

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LI J, LIAN R, MA J. Global existence and uniqueness of strong solution to the large-scale moist atmospheric dynamic equations. Journal of Capital Normal University (Natural Science Edition), 2025, 46(3): 1-9. https://doi.org/10.19789/j.1004-9398.2025.03.001

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Received: 25 February 2023
Published: 01 June 2025
© The editorial department of Journal of Capital Normal University (Natural Science Edition) 2025.

This is an open access article under the CC BY-NC-ND 4.0 license (https://creativecommons.org/licenses/by-nc-nd/4.0/).