The global bifurcation and geometric properties of steady periodic equatorial internal waves with fixed-depth

被引：0

作者：

Dai, Guowei ^{[1
]}

Xu, Fei ^{[2
]}

Zhang, Yong ^{[3
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Jiangsu Univ, Sch Math Sci, Zhenjiang 212013, Peoples R China

[3] Jiangsu Univ, Inst Appl Syst Anal, Zhenjiang 212013, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 359卷

基金：

国家重点研发计划; 中国国家自然科学基金;

关键词：

Analytic bifurcation; Large amplitude; Equatorial internal waves; Fixed depth; Symmetry; GRAVITY WATER-WAVES; CONSTANT VORTICITY; SYMMETRY; SURFACE;

D O I：

10.1016/j.jde.2023.02.065

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we mainly consider steady periodic equatorial internal waves with a fixed mean depth d > 0. By extending the local bifurcation curve obtained in [1], we prove the existence of equatorial internal waves of large amplitude, where the analytic bifurcation theorem and analysis of nodal patterns play a key role. Furthermore, we also obtain some important geometric properties on equatorial internal waves, including the concavity and convexity and symmetry of wave profile.(c) 2023 Elsevier Inc. All rights reserved.

引用

页码：393 / 413

页数：21

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