Constant vorticity two-layer flows over variable bottom at arbitrary latitude

被引：0
|
作者：
Miao, Fahe [1 ]
Liu, Hui [2 ]
机构：
[1] Shandong Agr Univ, Sch Informat Sci & Engn, Tai An, Peoples R China
[2] Univ Jinan, Sch Math Sci, Jinan, Peoples R China
来源：
APPLICABLE ANALYSIS | 2024年
基金：
中国国家自然科学基金;
关键词：
Stratification; vorticity; Coriolis force; STRATIFIED EQUATORIAL FLOWS; WATER-WAVES; FREE-SURFACE;
D O I：
10.1080/00036811.2024.2431618
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the three-dimensional constant vorticity stratified geophysical flows over a variable bottom at arbitrary latitude. It is proved that the geophysical flows in the two layers are necessarily irrotational, one of the horizontal component of the velocity is constant, the other two components are zero. Moreover, the free surface presents a traveling character in the horizontal direction of the nonvanishing velocity component.
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页数：9
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