Nonlinear Dynamics Of Rotating Shallow Water

Nonlinear Dynamics Of Rotating Shallow Water Methods And Advances Book PDF
✏Book Title : Nonlinear Dynamics of Rotating Shallow Water Methods and Advances
✏Author :
✏Publisher : Elsevier
✏Release Date : 2007-04-03
✏Pages : 400
✏ISBN : 008048946X
✏Available Language : English, Spanish, And French

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✏Nonlinear Dynamics of Rotating Shallow Water Methods and Advances Book Summary : The rotating shallow water (RSW) model is of wide use as a conceptual tool in geophysical fluid dynamics (GFD), because, in spite of its simplicity, it contains all essential ingredients of atmosphere and ocean dynamics at the synoptic scale, especially in its two- (or multi-) layer version. The book describes recent advances in understanding (in the framework of RSW and related models) of some fundamental GFD problems, such as existence of the slow manifold, dynamical splitting of fast (inertia-gravity waves) and slow (vortices, Rossby waves) motions, nonlinear geostrophic adjustment and wave emission, the role of essentially nonlinear wave phenomena. The specificity of the book is that analytical, numerical, and experimental approaches are presented together and complement each other. Special attention is paid on explaining the methodology, e.g. multiple time-scale asymptotic expansions, averaging and removal of resonances, in what concerns theory, high-resolution finite-volume schemes, in what concerns numerical simulations, and turntable experiments with stratified fluids, in what concerns laboratory simulations. A general introduction into GFD is given at the beginning to introduce the problematics for non-specialists. At the same time, recent new results on nonlinear geostrophic adjustment, nonlinear waves, and equatorial dynamics, including some exact results on the existence of the slow manifold, wave breaking, and nonlinear wave solutions are presented for the first time in a systematic manner. · Incorporates analytical, numerical and experimental approaches in the geophysical fluid dynamics context · Combination of essentials in GFD, of the description of analytical, numerical and experimental methods (tutorial part), and new results obtained by these methods (original part) · Provides the link between GFD and mechanics (averaging method, the method of normal forms); GFD and nonlinear physics (shocks, solitons, modons, anomalous transport, periodic nonlinear waves)

Fronts Waves And Vortices In Geophysical Flows Book PDF
✏Book Title : Fronts Waves and Vortices in Geophysical Flows
✏Author : Jan-Bert Flor
✏Publisher : Springer
✏Release Date : 2010-06-01
✏Pages : 192
✏ISBN : 9783642115875
✏Available Language : English, Spanish, And French

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✏Fronts Waves and Vortices in Geophysical Flows Book Summary : Most well known structures in planetary atmospheres and the Earth’s oceans are jets or fronts interacting with vortices on a wide range of scales. The transition from one state to another, such as in unbalanced or adjustment flows, involves the generation of waves as well as the interaction of coherent structures with these waves. This book presents a fluid mechanics perspective to the dynamics of fronts and vortices and their interaction with waves in geophysical flows. It provides a basic physical background for modeling coherent structures in a geophysical context, and it gives essential information on advanced topics such as spontaneous wave emission and wavemomentum transfer in geophysical flows. Based on a set of lectures by leading specialists, this text is targeted at graduate students, researchers and engineers in geophysics and environmental fluid mechanics.

📒Geophysical Fluid Dynamics ✍ Vladimir Zeitlin

Geophysical Fluid Dynamics Book PDF
✏Book Title : Geophysical Fluid Dynamics
✏Author : Vladimir Zeitlin
✏Publisher : Oxford University Press
✏Release Date : 2018-02-15
✏Pages : 512
✏ISBN : 9780198804338
✏Available Language : English, Spanish, And French

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✏Geophysical Fluid Dynamics Book Summary : 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. The model plays a distinguished role in geophysical fluid dynamics. It has been used for about a century for conceptual understanding of various phenomena, for elaboration of approaches and methods to be used later in more complete models, for development and testing of numerical codes, and for many other purposes. In spite of its simplicity, the model grasps essential features of the complete "primitive equations" models, being their vertically averaged version, and gives an intuitive representation and clear vision of principal dynamical processes. This book is a combination of a course on geophysical fluid dynamics (Part 1), with explanations and illustrations of fundamentals, and problems, as well as a more advanced treatise of a range of principal dynamical phenomena (Part 2), including recently arisen approaches and applications (Part 3). Mathematics and physics underlying dynamical phenomena are explained, with necessary demonstrations. Yet, an important goal of the book is to develop the reader's physical intuition and qualitative insights.

📒Dispersive Shallow Water Waves ✍ Gayaz Khakimzyanov

Dispersive Shallow Water Waves Book PDF
✏Book Title : Dispersive Shallow Water Waves
✏Author : Gayaz Khakimzyanov
✏Publisher : Springer Nature
✏Release Date : 2020
✏Pages : 296
✏ISBN : 9783030462673
✏Available Language : English, Spanish, And French

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✏Dispersive Shallow Water Waves Book Summary : This monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves. Including both an overview of existing dispersive models, as well as recent breakthroughs, the authors maintain an ideal balance between theory and applications. From modelling tsunami waves to smaller scale coastal processes, this book will be an indispensable resource for those looking to be brought up-to-date in this active area of scientific research. Beginning with an introduction to various dispersive long wave models on the flat space, the authors establish a foundation on which readers can confidently approach more advanced mathematical models and numerical techniques. The first two chapters of the book cover modelling and numerical simulation over globally flat spaces, including adaptive moving grid methods along with the operator splitting approach, which was historically proposed at the Institute of Computational Technologies at Novosibirsk. Later chapters build on this to explore high-end mathematical modelling of the fluid flow over deformed and rotating spheres using the operator splitting approach. The appendices that follow further elaborate by providing valuable insight into long wave models based on the potential flow assumption, and modified intermediate weakly nonlinear weakly dispersive equations. Dispersive Shallow Water Waves will be a valuable resource for researchers studying theoretical or applied oceanography, nonlinear waves as well as those more broadly interested in free surface flow dynamics.

Modeling Atmospheric And Oceanic Flows Book PDF
✏Book Title : Modeling Atmospheric and Oceanic Flows
✏Author : Thomas von Larcher
✏Publisher : John Wiley & Sons
✏Release Date : 2014-10-30
✏Pages : 368
✏ISBN : 9781118855928
✏Available Language : English, Spanish, And French

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✏Modeling Atmospheric and Oceanic Flows Book Summary : Modeling Atmospheric and Oceanic Flows: Insights from Laboratory Experiments and Numerical Simulations provides a broad overview of recent progress in using laboratory experiments and numerical simulations to model atmospheric and oceanic fluid motions. This volume not only surveys novel research topics in laboratory experimentation, but also highlights recent developments in the corresponding computational simulations. As computing power grows exponentially and better numerical codes are developed, the interplay between numerical simulations and laboratory experiments is gaining paramount importance within the scientific community. The lessons learnt from the laboratory–model comparisons in this volume will act as a source of inspiration for the next generation of experiments and simulations. Volume highlights include: Topics pertaining to atmospheric science, climate physics, physical oceanography, marine geology and geophysics Overview of the most advanced experimental and computational research in geophysics Recent developments in numerical simulations of atmospheric and oceanic fluid motion Unique comparative analysis of the experimental and numerical approaches to modeling fluid flow Modeling Atmospheric and Oceanic Flows will be a valuable resource for graduate students, researchers, and professionals in the fields of geophysics, atmospheric sciences, oceanography, climate science, hydrology, and experimental geosciences.

Nonlinear Processes In Geophysical Fluid Dynamics Book PDF
✏Book Title : Nonlinear Processes in Geophysical Fluid Dynamics
✏Author : O.U. Velasco Fuentes
✏Publisher : Springer Science & Business Media
✏Release Date : 2011-06-27
✏Pages : 376
✏ISBN : 9789401000741
✏Available Language : English, Spanish, And French

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✏Nonlinear Processes in Geophysical Fluid Dynamics Book Summary : A Tribute to the Scientific Work of Pedro Ripa

Nonlinear Topics In Ocean Physics Book PDF
✏Book Title : Nonlinear Topics in Ocean Physics
✏Author : A.R. Osborne
✏Publisher : Elsevier
✏Release Date : 1991-07-04
✏Pages : 1032
✏ISBN : 9780444597823
✏Available Language : English, Spanish, And French

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✏Nonlinear Topics in Ocean Physics Book Summary : The main fields presented at this school were mesoscale and large scale flows, and nonlinear wave dynamics. The resulting proceedings present the latest developments in these fields.

Proceedings Of The International School Of Physics Enrico Fermi  Book PDF
✏Book Title : Proceedings of the International School of Physics Enrico Fermi
✏Author :
✏Publisher :
✏Release Date : 1991
✏Pages :
✏ISBN : UCAL:B5157841
✏Available Language : English, Spanish, And French

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✏Proceedings of the International School of Physics Enrico Fermi Book Summary :

Nonlinear Stability Of Finite Volume Methods For Hyperbolic Conservation Laws Book PDF
✏Book Title : Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws
✏Author : François Bouchut
✏Publisher : Springer Science & Business Media
✏Release Date : 2004-06-25
✏Pages : 134
✏ISBN : 3764366656
✏Available Language : English, Spanish, And French

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✏Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws Book Summary : The schemes are analyzed regarding their nonlinear stability Recently developed entropy schemes are presented A formalism is introduced for source terms

Large Scale Atmosphere Ocean Dynamics Volume 1 Book PDF
✏Book Title : Large Scale Atmosphere Ocean Dynamics Volume 1
✏Author : John Norbury
✏Publisher : Cambridge University Press
✏Release Date : 2002-08-15
✏Pages : 402
✏ISBN : 052180681X
✏Available Language : English, Spanish, And French

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✏Large Scale Atmosphere Ocean Dynamics Volume 1 Book Summary : Publisher Description

Systems Of Conservation Laws 2 Book PDF
✏Book Title : Systems of Conservation Laws 2
✏Author : Denis Serre
✏Publisher : Cambridge University Press
✏Release Date : 1999
✏Pages : 269
✏ISBN : 0521633303
✏Available Language : English, Spanish, And French

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✏Systems of Conservation Laws 2 Book Summary : A graduate text on mathematical theory of conservation laws and partial differential equations.

Esaim  Book PDF
✏Book Title : ESAIM
✏Author :
✏Publisher :
✏Release Date : 2008
✏Pages :
✏ISBN : UOM:39015072635686
✏Available Language : English, Spanish, And French

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✏ESAIM Book Summary :

📒Proceedings Of The Heat Transfer And Fluid Mechanics Institute ✍ Heat Transfer and Fluid Mechanics Institute

Proceedings Of The Heat Transfer And Fluid Mechanics Institute Book PDF
✏Book Title : Proceedings of the Heat Transfer and Fluid Mechanics Institute
✏Author : Heat Transfer and Fluid Mechanics Institute
✏Publisher :
✏Release Date : 1991
✏Pages :
✏ISBN : UVA:X001997237
✏Available Language : English, Spanish, And French

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✏Proceedings of the Heat Transfer and Fluid Mechanics Institute Book Summary :

Physics Briefs Book PDF
✏Book Title : Physics Briefs
✏Author :
✏Publisher :
✏Release Date : 1994
✏Pages :
✏ISBN : UOM:39015027829830
✏Available Language : English, Spanish, And French

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✏Physics Briefs Book Summary :

Geophysical Fluid Dynamics Book PDF
✏Book Title : Geophysical Fluid Dynamics
✏Author :
✏Publisher :
✏Release Date : 1993
✏Pages :
✏ISBN : CHI:53542920
✏Available Language : English, Spanish, And French

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✏Geophysical Fluid Dynamics Book Summary :

Dynamics Of Internal Gravity Waves In The Ocean Book PDF
✏Book Title : Dynamics of Internal Gravity Waves in the Ocean
✏Author : Yu.Z. Miropol'sky
✏Publisher : Springer Science & Business Media
✏Release Date : 2013-03-09
✏Pages : 406
✏ISBN : 9789401713252
✏Available Language : English, Spanish, And French

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✏Dynamics of Internal Gravity Waves in the Ocean Book Summary : This monograph creates a systematic interpretation of the theoretical and the most actual experimental aspects of the internal wave dynamics in the ocean. Firstly, it draws attention to the important physical effects from an oceanographical point of view which are presented in mathematical descriptions. Secondly, the book serves as an introduction to the range of modern ideas and the methods in the study of wave processes in dispersive media. The book is meant for specialists in physics of the ocean, oceanography, geophysics, hydroacoustics.

Iutam Symposium On Hamiltonian Dynamics Vortex Structures Turbulence Book PDF
✏Book Title : IUTAM Symposium on Hamiltonian Dynamics Vortex Structures Turbulence
✏Author : Alexey V. Borisov
✏Publisher : Springer Science & Business Media
✏Release Date : 2007-12-22
✏Pages : 501
✏ISBN : 9781402067440
✏Available Language : English, Spanish, And French

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✏IUTAM Symposium on Hamiltonian Dynamics Vortex Structures Turbulence Book Summary : This work brings together previously unpublished notes contributed by participants of the IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow, 25-30 August 2006). The study of vortex motion is of great interest to fluid and gas dynamics: since all real flows are vortical in nature, applications of the vortex theory are extremely diverse, many of them (e.g. aircraft dynamics, atmospheric and ocean phenomena) being especially important.

Oceanic Abstracts Book PDF
✏Book Title : Oceanic Abstracts
✏Author :
✏Publisher :
✏Release Date : 1997
✏Pages :
✏ISBN : UVA:X006072914
✏Available Language : English, Spanish, And French

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✏Oceanic Abstracts Book Summary :

Nonlinear Waves In Fluids Recent Advances And Modern Applications Book PDF
✏Book Title : Nonlinear Waves in Fluids Recent Advances and Modern Applications
✏Author : Roger Grimshaw
✏Publisher : Springer Science & Business Media
✏Release Date : 2007-03-23
✏Pages : 196
✏ISBN : 9783211380253
✏Available Language : English, Spanish, And French

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✏Nonlinear Waves in Fluids Recent Advances and Modern Applications Book Summary : Although nonlinear waves occur in nearly all branches of physics and engi neering, there is an amazing degree of agreement about the fundamental con cepts and the basic paradigms. The underlying unity of the theory for linearized waves is already well-established, with the importance of such universal concepts as group velocity and wave superposition. For nonlinear waves the last few decades have seen the emergence of analogous unifying comcepts. The pervasiveness of the soliton concept is amply demonstrated by the ubiquity of such models as the Korteweg-de Vries equation and the nonlinear Schrodinger equation. Similarly, there is a universality in the study of wave-wave interactions, whether determin istic or statistical, and in the recent developments in the theory of wave-mean flow interactions. The aim of this text is to present the basic paradigms of weakly nonlinear waves in fluids. This book is the outcome of a CISM Summer School held at Udine from September 20-24, 2004. . Like the lectures given there the text covers asymptotic methods for the derivation of canonical evolution equations, such as the Kortew- de Vries and nonlinear Schrodinger equations, descriptions of the basic solution sets of these evolution equations, and the most relevant and compelling applica tions. These themes are interlocked, and this will be demonstrated throughout the text . The topics address any fluid flow application, but there is a bias towards geophysical fluid dynamics, reflecting for the most part the areas where many applications have been found.

Issues In Mechanical Engineering 2011 Edition Book PDF
✏Book Title : Issues in Mechanical Engineering 2011 Edition
✏Author :
✏Publisher : ScholarlyEditions
✏Release Date : 2012-01-09
✏Pages : 2526
✏ISBN : 9781464963742
✏Available Language : English, Spanish, And French

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✏Issues in Mechanical Engineering 2011 Edition Book Summary : Issues in Mechanical Engineering / 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Mechanical Engineering. The editors have built Issues in Mechanical Engineering: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Mechanical Engineering in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Mechanical Engineering: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Nonlinear Dynamics Of Long Standing Waves Book PDF
✏Book Title : Nonlinear Dynamics of Long Standing Waves
✏Author : See Whan Kang
✏Publisher :
✏Release Date : 1977
✏Pages : 256
✏ISBN : WISC:89010816593
✏Available Language : English, Spanish, And French

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✏Nonlinear Dynamics of Long Standing Waves Book Summary :

Rossby Vortices Spiral Structures Solitons Book PDF
✏Book Title : Rossby Vortices Spiral Structures Solitons
✏Author : Mikhail V. Nezlin
✏Publisher : Springer Science & Business Media
✏Release Date : 2013-11-11
✏Pages : 223
✏ISBN : 9783642881220
✏Available Language : English, Spanish, And French

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✏Rossby Vortices Spiral Structures Solitons Book Summary : This book can be looked upon in more ways than one. On the one hand, it describes strikingly interesting and lucid hydrodynamic experiments done in the style of the "good old days" when the physicist needed little more than a piece of string and some sealing wax. On the other hand, it demonstrates how a profound physical analogy can help to get a synoptic view on a broad range of nonlinear phenomena involving self-organization of vortical structures in planetary atmo spheres and oceans, in galaxies and in plasmas. In particular, this approach has elucidated the nature and the mechanism of such grand phenomena as the Great of galaxies. A number of our Red Spot vortex on Jupiter and the spiral arms predictions concerning the dynamics of spiral galaxies are now being confirmed by astronomical observations stimulated by our experiments. This book is based on the material most of which was accumulated during 1981-88 in close cooperation with our colleagues, experimenters from the Plasma Physics Department of the Kurchatov Atomic Energy Institute (S. V. Antipov, A. S. Trubnikov, AYu. Rylov, AV. Khutoretsky) and astrophysics theoreticians from the Astronomical Council of the USSR Academy of Sciences (AM. Frid man) and from the Volgograd State University (AG. Morozov). To all of them we wish to express our gratitude. Whenever we speak of "our experiments", the participation of the entire team is implied.

Fundamentals Of Geophysical Fluid Dynamics Book PDF
✏Book Title : Fundamentals of Geophysical Fluid Dynamics
✏Author : James C. McWilliams
✏Publisher : Cambridge University Press
✏Release Date : 2006-07-20
✏Pages : 249
✏ISBN : 9780521856379
✏Available Language : English, Spanish, And French

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✏Fundamentals of Geophysical Fluid Dynamics Book Summary : Intermediate/advanced textbook which provides concise and accessible introduction to GFD for broad range of students.

📒Rotating Hydraulics ✍ Lawrence L.J. Pratt

Rotating Hydraulics Book PDF
✏Book Title : Rotating Hydraulics
✏Author : Lawrence L.J. Pratt
✏Publisher : Springer Science & Business Media
✏Release Date : 2007-12-26
✏Pages : 592
✏ISBN : 038749572X
✏Available Language : English, Spanish, And French

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✏Rotating Hydraulics Book Summary : This book thoroughly covers the development of the theory of rotating hydraulics, making frequent use of supporting laboratory models and observational data. The need to understand rotating hydraulic phenomena is growing as general interest in climate and global circulation is continuously increasing. The book details cutting-edge research and includes many exercises.

Mathematical Reviews Book PDF
✏Book Title : Mathematical Reviews
✏Author :
✏Publisher :
✏Release Date : 2007
✏Pages :
✏ISBN : UOM:39015076649881
✏Available Language : English, Spanish, And French

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✏Mathematical Reviews Book Summary :

Chaos And Structure In Nonlinear Plasmas Book PDF
✏Book Title : Chaos and Structure in Nonlinear Plasmas
✏Author : Y. H. Ichikawa
✏Publisher : Allied Publishers
✏Release Date : 2002
✏Pages : 340
✏ISBN : 8177642340
✏Available Language : English, Spanish, And French

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✏Chaos and Structure in Nonlinear Plasmas Book Summary :

Soviet Journal Of Plasma Physics Book PDF
✏Book Title : Soviet Journal of Plasma Physics
✏Author :
✏Publisher :
✏Release Date : 1986
✏Pages :
✏ISBN : CORNELL:31924056265147
✏Available Language : English, Spanish, And French

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✏Soviet Journal of Plasma Physics Book Summary :

International Aerospace Abstracts Book PDF
✏Book Title : International Aerospace Abstracts
✏Author :
✏Publisher :
✏Release Date : 1999
✏Pages :
✏ISBN : STANFORD:36105021811380
✏Available Language : English, Spanish, And French

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✏International Aerospace Abstracts Book Summary :

Chemical Abstracts Book PDF
✏Book Title : Chemical Abstracts
✏Author :
✏Publisher :
✏Release Date : 2002
✏Pages :
✏ISBN : UOM:39015057321351
✏Available Language : English, Spanish, And French

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✏Chemical Abstracts Book Summary :

Geometrical Theory Of Dynamical Systems And Fluid Flows Book PDF
✏Book Title : Geometrical Theory of Dynamical Systems and Fluid Flows
✏Author : Tsutomu Kambe
✏Publisher : World Scientific Publishing Company
✏Release Date : 2009-12-28
✏Pages : 444
✏ISBN : 9789813107601
✏Available Language : English, Spanish, And French

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✏Geometrical Theory of Dynamical Systems and Fluid Flows Book Summary : This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows and certain integrable systems. The topics are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The main theme of this book is a unified formulation to understand dynamical evolutions of physical systems within mathematical ideas of Riemannian geometry and Lie groups by using well-known examples. Underlying mathematical concepts include transformation invariance, covariant derivative, geodesic equation and curvature tensors on the basis of differential geometry, theory of Lie groups and integrability. These mathematical theories are applied to physical systems such as free rotation of a top, surface wave of shallow water, action principle in mechanics, diffeomorphic flow of fluids, vortex motions and some integrable systems. In the latest edition, a new formulation of fluid flows is also presented in a unified fashion on the basis of the gauge principle of theoretical physics and principle of least action along with new type of Lagrangians. A great deal of effort has been directed toward making the description elementary, clear and concise, to provide beginners easy access to the topics.