On the Tidal Motion Around the Earth Complicated by the Circular Geometry of the Ocean's Shape

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dc.contributor.authorIbragimov, Ranis N.
dc.date.accessioned2019-12-18T19:15:08Z
dc.date.available2019-12-18T19:15:08Z
dc.date.issued2000-05-16
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationIbragimov, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9110
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectCauchy-Poisson free boundary problem
dc.subjectShallow water theory
dc.subjectConformal mapping
dc.titleOn the Tidal Motion Around the Earth Complicated by the Circular Geometry of the Ocean's Shape
dc.typeArticle

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