A nonlocal shallow -water model with the weak Coriolis and equatorial undercurrent effects
A nonlocal shallow -water model with the weak Coriolis and equatorial undercurrent effects
复制标题
具有弱科里奥利和赤道潜流效应的非局域浅水模型
DOI：
10.1016/j.jde.2020.05.010
复制
发表时间：
2020
影响因子：
2.4
通讯作者：
Mu Chunlai
中科院分区：
文献类型：
--
作者：
Huang Lili;Mu Chunlai
We derive a quasilinear nonlocal shallow-water model equation for moderate-amplitude equatorial waves with effects of the weak Coriolis force and equatorial undercurrent. This mathematical modeling is analogous to the Camassa-Holm approximation of the two-dimensional incompressible and rotational Euler equations in the equatorial region. Moreover, we investigate the influences and interactions of the weak Coriolis force caused by the Earth rotation, vorticity and nonlocal higher nonlinearities on the wave-breaking phenomena. In certain cases, by applying the method of characteristics and extremal property of the solution to the Riccati-type differential inequality, we demonstrate that wave breaking phenomena occur only depending on a shape of wave initially in the local spacial point.
