On the Tidal Motion Around the Earth Complicated by the Circular Geometry of the Ocean's Shape
Date
2000-05-16
Authors
Ibragimov, Ranis N.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We study the Cauchy-Poisson free boundary problem on the stationary motion of a perfect incompressible fluid circulating around the Earth. The main goal is to find the inverse conformal mapping of the unknown free boundary in the hodograph plane onto some fixed boundary in the physical domain. The approximate solution to the problem is obtained as an application of this method. We also study the behaviour of tidal waves around the Earth. It is shown that on a positively curved bottom the problem admits two different high order systems of shallow water equations, while the classical problem for the flat bottom admits only one system.
Description
Keywords
Cauchy-Poisson free boundary problem, Shallow water theory, Conformal mapping
Citation
Ibragimov, R. N. (2000). On the tidal motion around the earth complicated by the circular geometry of the ocean's shape. <i>Electronic Journal of Differential Equations, 2000</i>(35), pp. 1-11.
Rights
Attribution 4.0 International