数学物理学报(英文版) ›› 2023, Vol. 43 ›› Issue (3): 1081-1104.doi: 10.1007/s10473-023-0306-1
Xueke Pu, Wenli Zhou†
收稿日期:
2021-09-18
修回日期:
2022-10-17
出版日期:
2023-06-25
发布日期:
2023-06-06
通讯作者:
† Wenli Zhou, E-mail: wywlzhou@163.com
作者简介:
Xueke Pu, E-mail: puxueke@gmail.com
基金资助:
Xueke Pu, Wenli Zhou†
Received:
2021-09-18
Revised:
2022-10-17
Online:
2023-06-25
Published:
2023-06-06
Contact:
† Wenli Zhou, E-mail: wywlzhou@163.com
About author:
Xueke Pu, E-mail: puxueke@gmail.com
Supported by:
摘要: In this paper, we rigorously derive the governing equations describing the motion of a stable stratified fluid, from the mathematical point of view. In particular, we prove that the scaled Boussinesq equations strongly converge to the viscous primitive equations with density stratification as the aspect ratio goes to zero, and the rate of convergence is of the same order as the aspect ratio. Moreover, in order to obtain this convergence result, we also establish the global well-posedness of strong solutions to the viscous primitive equations with density stratification.
Xueke Pu, Wenli Zhou. ON THE RIGOROUS MATHEMATICAL DERIVATION FOR THE VISCOUS PRIMITIVE EQUATIONS WITH DENSITY STRATIFICATION*[J]. 数学物理学报(英文版), 2023, 43(3): 1081-1104.
Xueke Pu, Wenli Zhou. ON THE RIGOROUS MATHEMATICAL DERIVATION FOR THE VISCOUS PRIMITIVE EQUATIONS WITH DENSITY STRATIFICATION*[J]. Acta mathematica scientia,Series B, 2023, 43(3): 1081-1104.
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