Applications of Lie group analysis in geophysical fluid dynamics by N. Kh Ibragimov

Cover of: Applications of Lie group analysis in geophysical fluid dynamics | N. Kh Ibragimov

Published by Higher Education Press, World Scientific in Beijing, China, Singapore, Hackensack, NJ .

Written in English

Read online

Subjects:

  • Geophysics,
  • Lie groups,
  • Fluid dynamics

Edition Notes

Includes bibliographical references (p. 209-212) and index.

Book details

StatementNail H. Ibragimov, Ranis N. Ibragimov
SeriesSeries on complexity, nonlinearity and chaos -- v. 2, Series on complexity, nonlinearity and chaos -- v. 2.
ContributionsIbragimov, R. N.
Classifications
LC ClassificationsQC809.F5 I273 2011
The Physical Object
Paginationx, 215 p. :
Number of Pages215
ID Numbers
Open LibraryOL25151723M
ISBN 109814340464
ISBN 109789814340465
LC Control Number2011275161
OCLC/WorldCa697260705

Download Applications of Lie group analysis in geophysical fluid dynamics

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 by: CNC Series on Complexity, Nonlinearity and Chaos - APPLICATIONS OF LIE GROUP ANALYSIS IN GEOPHYSICAL FLUID DYNAMICS.

Nail H. Ibragimov Ranis N. Ibragimov. A monograph dealing with the applications of the Lie group analysis to the modeling equations governing internal wave propagation in the deep ocean. It presents a fresh approach to describe the nonlinear interactions of internal waves in the ocean.

It is shown that Lie group analysis of differential equations provides the exact solutions of two-dimensional stratified rotating Boussinesq equations which are a basic model in geophysical fluid. 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 Applications of Lie group analysis in geophysical fluid dynamics book applied group analysis for investigating nonlinear problems in physical, engineering and natural sciences.

APPLICATIONS OF LIE GROUP ANALYSIS IN GEOPHYSICAL FLUID DYNAMICS Nail H. Ibragimov Blekinge Institute of Technology, Sweden Ranis N. Ibragimov New Mexico Institute of Mining and Technology, USA HIGHER EDUCATION PRESS) World Scientific NEW JERSEY • LONDON • SINGAPORE • BEIJING • SHANGHAI • HONG KONG • TAIPEI • CHENNAI.

Application of Lie group analysis in geophysical fluid dynamics. 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 Author: Ranis Ibragimov and Nail Ibragimov. The Lie group analysis is used for constructing non-trivial conservation laws and group invariant solutions.

It is shown that nonlinear equations in question have remarkable property to be self-adjoint. This property is crucial for constructing physically relevant conservation laws for nonlinear internal waves in the ocean. Buy Applications Of Lie Group Analysis In Geophysical Fluid Dynamics by Nail H.

Ibragimov, R. Ibragimov from Waterstones today. Click and Collect from your local Waterstones or get FREE UK delivery on orders over £Pages: Applications of Lie Group Analysis in Geophysical Fluid Dynamics(李群分析在地球物理流体动力学中的应用)(英文版) 作者: (瑞典)伊布拉基莫夫 出版时间: 年04月.

Book Review Book Review Icha, Andrzej Pure Appl. Geophys. (), – The Author(s) This article is published with open access at Pure and Applied Geophysics DOI /s Applications of Lie Group Analysis in Geophysical Fluid Dynamics, by N.

Ibragimov and R. Ibragimov, CNC Series on Complexity. Book Review. Applications of Lie Group Analysis in Geophysical Fluid Dynamics, by N. Ibragimov and R. Ibragimov, CNC Series on Complexity, Nonlinearity and Chaos, vol.

2, World Scientific, ; ISBNISBN Andrzej Icha 1. Quick Search in Books. Enter words / phrases / DOI / ISBN / keywords / authors / etc. Search. This book is an introduction to the application of nonlinear dynamics to problems of stability, chaos and turbulence arising in continuous media and their connection to dynamical systems.

Applications of Lie Group Analysis in Geophysical Fluid. Tonton Environmental Applications of Geophysical Surveying Techniques - Sandersthomson1 di Dailymotion. On smaller scales GFD is just the classical fluid dynamics with geophysical applications.

— Other planets and some astrophysical fluids (e.g., stars, galaxies) are also included in GFD. •GFD combines applied math and theoretical physics.

It is about mathematical representation and physical interpretation of geophysical fluid motions. Fluid mechanics by Dr. Matthew J Memmott. This lecture note covers the following topics: Fluid Properties, Fluid Statics, Pressure, Math for Property Balances, Integral Mass Balance, Integral Momentum Balance, Integral Energy Balance, Bernoulli Equation, Bernoulli Applications, Mechanical Energy, Dimensional Analysis, Laminar Pipe Flow, Turbulent Pipe Flow, Minor Losses, Single.

FUNDAMENTALS OF GEOPHYSICAL FLUID DYNAMICS CambridgeUniversity Press - Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-scale Circulation In fluid dynamics such a procedure would lead to an analysis of fluid motions in terms of the positions and momenta of different fluid parcels, each identified by some.

The quasigeostrophic two-layer model is of superior interest in dynamic meteorology since it is one of the easiest ways to study baroclinic processes in geophysical fluid dynamics.

The complete set of point symmetries of the two-layer equations is determined. An optimal set of one- and two-dimensional inequivalent subalgebras of the maximal Lie invariance algebra is by: As for the case q = 0, invariant solutions are evanescent near the critical latitude.

Conclusions. Application of Lie group analysis of differential equations shows that the nonlinear system of equations in geophysical fluid dynamics, admits the translational and dilation symmetries.

These two symmetries provide the exact solutions,, to the equations of by: 7. 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 oce. Application of Lie Group Analysis in Geophysical Fluid Dynamics. [Ranis Ibragimov; Nail Ibragimov] -- 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.

This introductory book addresses a broad range of classical Fluid Dynamics topics, interesting applications, and related problems in everyday life. The geophysical and Available Formats: Hardcover eBook. Introduction to Geophysical Fluid Dynamics provides an introductory-level exploration of geophysical fluid dynamics (GFD), the principles governing air and water flows on large terrestrial scales.

Physical principles are illustrated with the aid of the simplest existing models, and the computer methods are shown in juxtaposition with the equations to which they apply.

Geophysical & Astrophysical Fluid Dynamics. Impact Factor. Search in: Advanced search. Submit an article. New content alerts RSS. Subscribe. Citation search. Taylor and Francis Group Facebook page. Taylor and Francis Group Twitter page.

Taylor and Francis Group Linkedin page. Introduction. The subject of geophysical fluid dynamics deals with the dynamics of the atmosphere and the ocean. Motions within these fluid masses are intimately connected through continual exchanges of momentum, heat, and moisture, and cannot be considered separately on a global scale.

course on the fundamentals of geophysical fluid dynamics at UCLA for several decades. He is a Fellow of the American Geophysical Union, and a member of Application to real gyres Turbulent baroclinic wind gyres Afterword complex nonlinear dynamics, mathematical analysis and computational modeling.

Applications of Lie Group Analysis in Geophysical Fluid Dynamics by Nail H Ibragimov & Ranis N Ibragimov; Chaos, Complexity and Transport Proceedings of the CCT ' Lectures on geophysical fluid dynamics / από: Salmon, Rick Έκδοση: () Applications of Lie group analysis in geophysical fluid dynamics / από: Ibragimov, N.

Έκδοση: () Small scale processes in geophysical fluid flows /. The method of group foliation can be used to construct solutions to a system of partial differential equations that, as opposed to Lie's method of symmetry reduction, are not invariant under any symmetry of the equations.

The classical approach is based on foliating the space of solutions into orbits of the given symmetry group action, resulting in rewriting the equations as a pair of systems Cited by: 1. Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics 英文书摘要 The subject of this book is the efficient solution of partial differential equations (PDEs) that arise when modelling incompressible fluid flow.

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, Transformation groups and Lie algebras, Higher Education Press and World Scientific, Geophysical fluid dynamics examines the dynamics of stratified and turbulent motion of fluids in the ocean and outer core, and of gases in the atmosphere.

This book explains key notions and fundamental processes of the dynamics of large- and medium-scale atmospheric and oceanic motions from the unifying viewpoint of the rotating shallow water model. Lie group analysis of the Geophysical Fluid Dynamics (English) theme of the Lie group analysis to explore the deep ocean fluctuations.

the book provides a very flexible and easy to understand content. cover a wide range o. Seller Inventory # CC More information about this. Written by a team of international experts, Extremes and Recurrence in Dynamical Systems presents a unique point of view on the mathematical theory of extremes and on its applications in the natural and social ing an interdisciplinary approach to new concepts in pure and applied mathematical research, the book skillfully combines the areas of statistical mechanics.

Online shopping for Books from a great selection of Electromagnetism, Dynamics, Mathematical Physics, Nuclear Physics, Mechanics, Solid-State Physics & more at everyday low prices. Application of Lie group analysis to functional differential equations Martin Oberlack1 and Marta Wacla wczyk2 1.

Depertment of Mechanical Engineering, Faculty of Fluid Dynamics Darmstadt University of Technology, Petersenstraße 13,Darmstadt, Germany 2.

Institute of Fluid Flow Machinery, Polish Academy of Sciences, ul. The Euler{Poincare Equations in Geophysical Fluid Dynamics Darryl D. Holm1 Jerrold E. Marsden2 Tudor S. Ratiu3 1Theoretical Division and Center for Nonlinear Studies Los Alamos National Laboratory, MS B Los Alamos, NM [email protected] 2Control and Dynamical Systems California Institute of Technology Pasadena, CA marsden.

This second edition of the widely acclaimed Geophysical Fluid Dynamics by Joseph Pedlosky offers the reader a high-level, unified treatment of the theory of the dynamics of large-scale motions of the oceans and atmosphere.4/5(12).

Nail H. Ibragimov is the author of Elementary Lie Group Analysis and Ordinary Differential Equations ( avg rating, 4 ratings, 0 reviews, published 19 /5(8).

Applications of Lie group analysis in geophysical fluid dynamics / by: Ibragimov, N. Kh., et al. Published: () Fluid dynamics in astrophysics and geophysics / Published: (). Applications of Lie Group Analysis in Geophysical Fluid Dynamics by Nail H Ibragimov and Ranis N Ibragimov World Scientific / Higher Education Press, China Pub Date: 08/ ISBN: Format: Hbk pages.1 Purposes and Value of Geophysical Fluid Dynamics 15 2 Fundamental Dynamics 22 Fluid Dynamics 22 Representations 22 Governing Equations 23 Boundary and Initial Conditions 27 Energy Conservation 29 Divergence, Vorticity, and Strain Rate 30 Oceanic Approximations 32 Mass and Density 32 Momentum 37File Size: 4MB.In addition, the modern language and application of differential forms is explained in the context of geometric mechanics, so that the importance of Lie derivatives and their flows is clear.

All theorems are stated and proved explicitly. The book's many worked exercises make it .

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