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eBook Applications of Lie Group Analysis in Geophysical Fluid Dynamics (Series on Complexity, Nonlinearity and Chaos) ePub

by Nail H Ibragimov,Ranis N Ibragimov

eBook Applications of Lie Group Analysis in Geophysical Fluid Dynamics (Series on Complexity, Nonlinearity and Chaos) ePub
Author: Nail H Ibragimov,Ranis N Ibragimov
Language: English
ISBN: 9814340464
ISBN13: 978-9814340465
Publisher: Wspc/Hep (August 4, 2011)
Pages: 215
Category: Mathematics
Subcategory: Science
Rating: 4.3
Votes: 954
Formats: txt rtf txt docx
ePub file: 1325 kb
Fb2 file: 1143 kb

Series: Series on Complexity, Nonlinearity and Chaos (Book 2).

It can also serve as a textbook on practical applications of symmetries of nonlinear differential equations for graduate students in applied mathematics, physics and engineering. Series: Series on Complexity, Nonlinearity and Chaos (Book 2).

PDF On Jan 1, 2011, Ranis Ibragimov and others published Applications of Lie Group Analysis in. .Complexity, Nonlinearity. Lie group analysis is especially valuable in investigating nonlinear differential equations, for its algorithms act as reliably as for linear cases.

PDF On Jan 1, 2011, Ranis Ibragimov and others published Applications of Lie Group Analysis in Geophysical Fluid Dynamics. The aim of this article is to provide the group theoretical modeling of the symmetrical heating of an exothermally reacting medium with approximations to the body’s temperature distribution similar to those made by Thomas and Squire.

with the applications of the Lie group analysis to the modeling equations .

Applications Of Lie Group Analysis In Geophysical Fluid Dynamics - Series on Complexity, Nonlinearity, and Chaos 2 (Hardback). This is the first monograph dealing with the applications of the Lie group analysis to the modeling equations governing internal wave propagation in the deep ocean. On the illustrative basis, it is also shown that the presence of the invariant solutions makes it possible to construct a more general class of disturbances, which represent wave beams propagating in certain direction coinciding with the beam energy.

While the central idea of the book is to investigate oceanic internal waves through the prism of Lie group anal This is the first monograph dealing with the applications of the Lie group analysis . Books by Nail H. Ibragimov.

While the central idea of the book is to investigate oceanic internal waves through the prism of Lie group anal This is the first monograph dealing with the applications of the Lie group analysis to the modeling equations governing internal wave propagation in the deep ocean. A new approach to describe the nonlinear interactions of internal waves in the ocean is presented. Ibragimov

Published by World Scientific Publishing Company, 2011.

Published by World Scientific Publishing Company, 2011. ISBN 10: 9814340464, ISBN 13: 9789814340465. - Zentralblatt MATH. I am deeply convinced that the book will inspire some ambitious explorers to new ideas in geophysical fluid dynamics.

Series on complexity, nonlinearity and chaos - v. 2, Series on complexity, nonlinearity and chaos - v. 2. Classifications.

Published 2011 by Higher Education Press, World Scientific in Beijing, China, Singapore, Hackensack, NJ. Written in English. Geophysics, Lie groups, Fluid dynamics. Series on complexity, nonlinearity and chaos - v.

Applications of Lie group analysis in geophysical fluid dynamics, with Ranis N. Ibragimov, Series on Complexity, Nonlinearity and Chaos 2, World Scientific and Higher Education Press, 2011. Transformation groups and Lie algebras, Higher Education Press and World Scientific, 2010. Tensors and Riemannian geometry, with applications to differential equations, De Gruyter and Higher Education Press, 2015.

Автор: Ibragimov, Nail H. Ibragimov, R. N. Название: Applications of lie . It investigates oceanic internal waves through the prism of Lie group analysis.

It investigates oceanic internal waves through the prism of Lie group analysis.

Applications of lie group analysis in geophysical fluid dynamics. Series on Complexity, Nonlinearity and Chaos, vol. World Scientific Publishers, ISBN: 978-981-4340-46-5 (2011)Google Scholar. Effects of rotation on stability of viscous stationary flows on a spherical surface. Fluids 22, 126602 (2010)ADSCrossRefGoogle Scholar. Teman, . Wang, . On the equations of the large-scale ocean. Nonlinearity 5, 1007–1053 (1992)Google Scholar. New formulations of the primitive equations of atmosphere and applications.

This is the first monograph dealing with the applications of the Lie group analysis to the modeling equations governing internal wave propagation in the deep ocean. A new approach to describe the nonlinear interactions of internal waves in the ocean is presented. While the central idea of the book is to investigate oceanic internal waves through the prism of Lie group analysis, it is also shown for the first time that internal wave beams, representing exact solutions to the equation of motion of stratified fluid, can be found by solving the given model as invariant solutions of nonlinear equations of motion. On the illustrative basis, it is also shown that the presence of the invariant solutions makes it possible to construct a more general class of disturbances, which represent wave beams propagating in certain direction coinciding with the beam energy.This book is designed for specialists in Geophysical Fluid Dynamics, Ocean and Atmospheric Modeling, as well as for researchers, teachers and students — mathematicians and nonmathematicians — interested in methods of applied group analysis for investigating nonlinear problems in physical, engineering and natural sciences. It can also serve as a textbook on practical applications of symmetries of nonlinear differential equations for graduate students in applied mathematics, physics and engineering.
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