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Nonlinear Mathematical Modeling in Atmosphere and Ocean



Год выпуска: 2013
Автор: Ranis Ibragimov
Издательство: LAP Lambert Academic Publishing
Страниц: 108
ISBN: 9783659332494
Описание
The purpose of this monograph is to provide illustrative examples of nonlinear modeling of oceanic and atmospheric dynamics and associated energetic. Particularly,exact solutions for the Navier-Stokes equations and the corresponding energy balance associated with an atmospheric motion around the Earth are presented. Additionally,nonlinear internal gravity waves forming a column of stratified fluid affected by the Earth's rotation are considered. In terms of linear modeling,the energy density was visualized as spinning patterns that appear to be rotating in an anticlockwise sense. Such spinning patterns were compared with the flow around a low-pressure area that is usually being linked with a modeling of hurricanes. In terms of nonlinear analysis,several classes of exact solutions were found.One particular class was visualized as funnels having something in common with the geometric structure of oceanic whirlpools. Up to the present,it remains an open issue where the whirlpools came...


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