@Article{JNMA-7-383,
author = {Liu , YuLiu , Xingxing and Li , Min},
title = {Shallow-Water Models with the Weak Coriolis and Underlying Shear Flow Effects},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2025},
volume = {7},
number = {2},
pages = {383--398},
abstract = {<p style="text-align: justify;">In this paper, we are committed to deriving shallow-water model
equations from the governing equations in the two-dimensional incompressible
fluid with the effects of weak Coriolis force and underlying shear flow. These
approximate models are established by working within a weakly nonlinear
regime, introducing suitable far-field or near-field variables, and truncating
the asymptotic expansions of the unknowns to an appropriate order. The
obtained models generalize the classical KdV and Boussinesq equations, as
well as KdV and Boussinesq equations with the Coriolis or shear flow effects.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2025.383},
url = {http://global-sci.org/intro/article_detail/jnma/23979.html}
}