Existence and stability of solutions for a Sea-Breeze flow model

被引：0
|
作者：
Li, Zhuohao [1 ,2 ,3 ]
Wang, Jinrong [1 ,2 ,3 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Guizhou Univ, Supercomp Algorithm & Applicat Lab, Guiyang 550025, Guizhou, Peoples R China
[3] Guizhou Univ, Guian Sci Innovat Co, Guiyang 550025, Guizhou, Peoples R China
来源：
MONATSHEFTE FUR MATHEMATIK | 2024年
基金：
中国国家自然科学基金;
关键词：
Sea-Breeze flow; Explicit solution; Existence and uniqueness; Stability; MORNING-GLORY; WAVES; GULF; BORES;
D O I：
10.1007/s00605-024-02016-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate a second-order ordinary differential equation that describes the phenomenon of sea breeze flow under specific geographical and viscosity conditions. By considering the forcing term in linear function form, we present the explicit solution and stability, which primarily include local asymptotic stability and semi-Ulam-Hyers stability. Then, we establish the criteria for the existence and uniqueness of solutions to the equation for various nonlinear forcing terms, including Lipschitz-type nonlinear and general nonlinear.
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页数：22
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