Nonlinear Ocean Waves And The Inverse Scattering Transform

Nonlinear Ocean Waves And The Inverse Scattering Transform Book PDF
✏Book Title : Nonlinear Ocean Waves and the Inverse Scattering Transform
✏Author : Alfred Osborne
✏Publisher : Academic Press
✏Release Date : 2010-04-07
✏Pages : 944
✏ISBN : 0080925103
✏Available Language : English, Spanish, And French

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✏Nonlinear Ocean Waves and the Inverse Scattering Transform Book Summary : For more than 200 years, the Fourier Transform has been one of the most important mathematical tools for understanding the dynamics of linear wave trains. Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis of measured space and time series, which can be found in a wide variety of physical settings including surface water waves, internal waves, and equatorial Rossby waves. This revolutionary development will allow hyperfast numerical modelling of nonlinear waves, greatly advancing our understanding of oceanic surface and internal waves. Nonlinear Fourier analysis is based upon a generalization of linear Fourier analysis referred to as the inverse scattering transform, the fundamental building block of which is a generalized Fourier series called the Riemann theta function. Elucidating the art and science of implementing these functions in the context of physical and time series analysis is the goal of this book. Presents techniques and methods of the inverse scattering transform for data analysis Geared toward both the introductory and advanced reader venturing further into mathematical and numerical analysis Suitable for classroom teaching as well as research

Scattering Two Volume Set Book PDF
✏Book Title : Scattering Two Volume Set
✏Author : E. R. Pike
✏Publisher : Academic Press
✏Release Date : 2002
✏Pages : 1831
✏ISBN : 9780126137606
✏Available Language : English, Spanish, And French

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✏Scattering Two Volume Set Book Summary : Part 1: SCATTERING OF WAVES BY MACROSCOPIC TARGET -- Interdisciplinary aspects of wave scattering -- Acoustic scattering -- Acoustic scattering: approximate methods -- Electromagnetic wave scattering: theory -- Electromagnetic wave scattering: approximate and numerical methods -- Electromagnetic wave scattering: applications -- Elastodynamic wave scattering: theory -- Elastodynamic wave scattering: Applications -- Scattering in Oceans -- Part 2: SCATTERING IN MICROSCOPIC PHYSICS AND CHEMICAL PHYSICS -- Introduction to direct potential scattering -- Introduction to Inverse Potential Scattering -- Visible and Near-visible Light Scattering -- Practical Aspects of Visible and Near-visible Light Scattering -- Nonlinear Light Scattering -- Atomic and Molecular Scattering: Introduction to Scattering in Chemical -- X-ray Scattering -- Neutron Scattering -- Electron Diffraction and Scattering -- Part 3: SCATTERING IN NUCLEAR PHYSICS -- Nuclear Physics -- Part 4: PARTICLE SCATTERING -- State of ...

Inverse Scattering Problems And Their Application To Nonlinear Integrable Equations Book PDF
✏Book Title : Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations
✏Author : Pham Loi Vu
✏Publisher : CRC Press
✏Release Date : 2019-11-11
✏Pages : 388
✏ISBN : 9781000708684
✏Available Language : English, Spanish, And French

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✏Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations Book Summary : Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations is devoted to inverse scattering problems (ISPs) for differential equations and their application to nonlinear evolution equations (NLEEs). The book is suitable for anyone who has a mathematical background and interest in functional analysis, partial differential equations, equations of mathematical physics, and functions of a complex variable. This book is intended for a wide community working with inverse scattering problems and their applications; in particular, there is a traditional community in mathematical physics. In this monograph, the problems are solved step-by-step, and detailed proofs are given for the problems to make the topics more accessible for students who are approaching them for the first time. Features • The unique solvability of ISPs are proved. The scattering data of the considered inverse scattering problems (ISPs) are described completely. • Solving the associated initial value problem or initial-boundary value problem for the nonlinear evolution equations (NLEEs) is carried out step-by-step. Namely, the NLEE can be written as the compatibility condition of two linear equations. The unknown boundary values are calculated with the help of the Lax (generalized) equation, and then the time-dependent scattering data (SD) are constructed from the initial and boundary conditions. • The potentials are recovered uniquely in terms of time-dependent SD, and the solution of the NLEEs is expressed uniquely in terms of the found solutions of the ISP. • Since the considered ISPs are solved well, then the SPs generated by two linear equations constitute the inverse scattering method (ISM). The application of the ISM to solving the NLEEs is consistent and is effectively embedded in the schema of the ISM.

Rogue And Shock Waves In Nonlinear Dispersive Media Book PDF
✏Book Title : Rogue and Shock Waves in Nonlinear Dispersive Media
✏Author : Miguel Onorato
✏Publisher : Springer
✏Release Date : 2016-09-19
✏Pages : 370
✏ISBN : 9783319392141
✏Available Language : English, Spanish, And French

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✏Rogue and Shock Waves in Nonlinear Dispersive Media Book Summary : This self-contained set of lectures addresses a gap in the literature by providing a systematic link between the theoretical foundations of the subject matter and cutting-edge applications in both geophysical fluid dynamics and nonlinear optics. Rogue and shock waves are phenomena that may occur in the propagation of waves in any nonlinear dispersive medium. Accordingly, they have been observed in disparate settings – as ocean waves, in nonlinear optics, in Bose-Einstein condensates, and in plasmas. Rogue and dispersive shock waves are both characterized by the development of extremes: for the former, the wave amplitude becomes unusually large, while for the latter, gradients reach extreme values. Both aspects strongly influence the statistical properties of the wave propagation and are thus considered together here in terms of their underlying theoretical treatment. This book offers a self-contained graduate-level text intended as both an introduction and reference guide for a new generation of scientists working on rogue and shock wave phenomena across a broad range of fields in applied physics and geophysics.

Princeton Companion To Applied Mathematics Book PDF
✏Book Title : Princeton Companion to Applied Mathematics
✏Author : Nicholas J. Higham
✏Publisher : Princeton University Press
✏Release Date : 2015-09-09
✏Pages : 1032
✏ISBN : 9780691150390
✏Available Language : English, Spanish, And French

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✏Princeton Companion to Applied Mathematics Book Summary : This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index

📒Nonlinear Waves ✍ Lokenath Debnath

Nonlinear Waves Book PDF
✏Book Title : Nonlinear Waves
✏Author : Lokenath Debnath
✏Publisher : CUP Archive
✏Release Date : 1983-12-30
✏Pages : 360
✏ISBN : 052125468X
✏Available Language : English, Spanish, And French

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✏Nonlinear Waves Book Summary : The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research, including nonlinear water waves, K-dV equations, solitions and inverse scattering transforms, stability of solitary waves, resonant wave interactions, nonlinear evolution equations, nonlinear wave phenomena in plasmas, recurrence phenomena in nonlinear wave systems, and the structure and dynamics of envelope solitions in plasmas.

📒Rogue Waves In The Ocean ✍ Christian Kharif

Rogue Waves In The Ocean Book PDF
✏Book Title : Rogue Waves in the Ocean
✏Author : Christian Kharif
✏Publisher : Springer Science & Business Media
✏Release Date : 2008-12-11
✏Pages : 216
✏ISBN : 9783540884194
✏Available Language : English, Spanish, And French

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✏Rogue Waves in the Ocean Book Summary : “It came from nowhere, snapping giant ships in two. No one believed the survivors . . . until now” —New Scientist magazine cover, June 30, 2001 Rogue waves are the focus of this book. They are among the waves naturally - served by people on the sea surface that represent an inseparable feature of the Ocean. Rogue waves appear from nowhere, cause danger, and disappear at once. They may occur on the surface of a relatively calm sea and not reach very high amplitudes, but still be fatal for ships and crew due to their unexpectedness and abnormal features. Seamen are known to be unsurpassed authors of exciting and horrifying stories about the sea and sea waves. This could explain why, despite the increasing number of documented cases, that sailors’ observations of “walls of - ter” have been considered ctitious for a while. These stories are now addressed again due to the amount of doubtless evidence of the existence of the phenomenon, but still without suf cient information to - able interested researchers and engineers to completely understand it. The billows appear suddenly, exceeding the surrounding waves by two times their size and more, and obtaining many names: abnormal, exceptional, extreme, giant, huge, s- den, episodic, freak, monster, rogue, vicious, killer, mad- or rabid-dog waves, cape rollers, holes in the sea, walls of water, three sisters, etc.

📒Waves Called Solitons ✍ M. Remoissenet

Waves Called Solitons Book PDF
✏Book Title : Waves Called Solitons
✏Author : M. Remoissenet
✏Publisher : Springer Science & Business Media
✏Release Date : 1999
✏Pages : 327
✏ISBN : 3540659196
✏Available Language : English, Spanish, And French

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✏Waves Called Solitons Book Summary : Written for an interdisciplinary readership, this book is a practical guide to the fascinating world of solitons. The author approaches the subject from the standpoint of applications in optics, hydrodynamics, and electrical and chemical engineering. This third edition has been thoroughly revised and updated.

Wind And Waves In The Northern Adriatic Sea Book PDF
✏Book Title : Wind and Waves in the Northern Adriatic Sea
✏Author : L. Cavaleri
✏Publisher :
✏Release Date : 1996
✏Pages : 195
✏ISBN : UCSD:31822020653911
✏Available Language : English, Spanish, And French

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✏Wind and Waves in the Northern Adriatic Sea Book Summary :

Il Nuovo Cimento Della Societ Italiana Di Fisica Book PDF
✏Book Title : Il Nuovo Cimento Della Societ Italiana Di Fisica
✏Author :
✏Publisher :
✏Release Date : 1997
✏Pages :
✏ISBN : CHI:53159821
✏Available Language : English, Spanish, And French

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✏Il Nuovo Cimento Della Societ Italiana Di Fisica Book Summary :

Chaos Solitons And Fractals Book PDF
✏Book Title : Chaos Solitons and Fractals
✏Author :
✏Publisher :
✏Release Date : 1995
✏Pages :
✏ISBN : STANFORD:36105016509932
✏Available Language : English, Spanish, And French

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✏Chaos Solitons and Fractals Book Summary :

Meteorological And Geoastrophysical Abstracts Book PDF
✏Book Title : Meteorological and Geoastrophysical Abstracts
✏Author :
✏Publisher :
✏Release Date : 1996
✏Pages :
✏ISBN : UOM:39015039845030
✏Available Language : English, Spanish, And French

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✏Meteorological and Geoastrophysical Abstracts Book Summary :

General Physics Relativity Astronomy And Plasmas Book PDF
✏Book Title : General physics relativity astronomy and plasmas
✏Author :
✏Publisher :
✏Release Date : 1987
✏Pages :
✏ISBN : UCAL:B4278017
✏Available Language : English, Spanish, And French

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✏General physics relativity astronomy and plasmas Book Summary :

Nonlinear Processes In Geophysics Book PDF
✏Book Title : Nonlinear Processes in Geophysics
✏Author :
✏Publisher :
✏Release Date : 2003
✏Pages :
✏ISBN : UCSD:31822031460231
✏Available Language : English, Spanish, And French

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✏Nonlinear Processes in Geophysics Book Summary :

📒Naval Research Reviews ✍ United States. Office of Naval Research

Naval Research Reviews Book PDF
✏Book Title : Naval research reviews
✏Author : United States. Office of Naval Research
✏Publisher :
✏Release Date : 1996
✏Pages :
✏ISBN : UIUC:30112047050726
✏Available Language : English, Spanish, And French

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✏Naval research reviews Book Summary :

Mathematical Reviews Book PDF
✏Book Title : Mathematical Reviews
✏Author :
✏Publisher :
✏Release Date : 2003
✏Pages :
✏ISBN : UVA:X006180440
✏Available Language : English, Spanish, And French

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✏Mathematical Reviews Book Summary :

Time Series Analysis Of Offshore Wind Wave Groupiness Book PDF
✏Book Title : Time Series Analysis of Offshore Wind Wave Groupiness
✏Author : Han-Bin Liang
✏Publisher :
✏Release Date : 1988
✏Pages : 476
✏ISBN : UCAL:$C72290
✏Available Language : English, Spanish, And French

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✏Time Series Analysis of Offshore Wind Wave Groupiness Book Summary :

📒Nonlinear Waves And Weak Turbulence ✍ Vladimir Evgenʹevich Zakharov

Nonlinear Waves And Weak Turbulence Book PDF
✏Book Title : Nonlinear Waves and Weak Turbulence
✏Author : Vladimir Evgenʹevich Zakharov
✏Publisher : American Mathematical Soc.
✏Release Date : 1998
✏Pages : 197
✏ISBN : 0821841130
✏Available Language : English, Spanish, And French

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✏Nonlinear Waves and Weak Turbulence Book Summary : This book is a collection of papers on dynamical and statistical theory of nonlinear wave propagation in dispersive conservative media. Emphasis is on waves on the surface of an ideal fluid and on Rossby waves in the atmosphere. Although the book deals mainly with weakly nonlinear waves, it is more than simply a description of standard perturbation techniques. The goal is to show that the theory of weakly interacting waves is naturally related to such areas of mathematics as Diophantine equations, differential geometry of waves, Poincare normal forms, and the inverse scattering method.

📒Nonlinear Water Waves ✍ Lokenath Debnath

Nonlinear Water Waves Book PDF
✏Book Title : Nonlinear Water Waves
✏Author : Lokenath Debnath
✏Publisher : Academic Press
✏Release Date : 1994-04-12
✏Pages : 544
✏ISBN : UCSD:31822016460404
✏Available Language : English, Spanish, And French

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✏Nonlinear Water Waves Book Summary : Wave motion in water is one of the most striking observable phenomena in nature. Throughout the twentieth century, development of the linearized theory of wave motion in fluids and hydrodynamic stability has been steady and significant. In the last three decades there have been remarkable developments in nonlinear dispersive waves in general, nonlinear water waves in particular, and nonlinear instability phenomena. New solutions are now available for waves modulatedin both space and time, which exhibit new phenomena as diverse as solitons, resonant interactions, side-band instability, and wave-breaking. Other achievements include the discovery of soliton interactions, and the Inverse Scattering Transform method forfinding the explicit exact solution for several canonical nonlinear partial differential equations. This monograph is the first to summarize the research on nonlinear wave phenomena over the past three decades, and it also presents numerous applications in physics, geophysics, and engineering.

Differential Topology Geometry And Related Fields And Their Applications To The Physical Sciences And Engineering Book PDF
✏Book Title : Differential Topology geometry and Related Fields and Their Applications to the Physical Sciences and Engineering
✏Author : George M. Rassias
✏Publisher :
✏Release Date : 1985
✏Pages : 376
✏ISBN : UCSD:31822001124023
✏Available Language : English, Spanish, And French

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✏Differential Topology geometry and Related Fields and Their Applications to the Physical Sciences and Engineering Book Summary : Papers written by eminent scientists from the international community on the occasion of the 130th anniversary of Henri Poincare's birth (1854-1984).

Nonlinear Three Dimensional Waves On Water Of Varying Depth Book PDF
✏Book Title : Nonlinear Three dimensional Waves on Water of Varying Depth
✏Author : Joseph Mathew
✏Publisher :
✏Release Date : 1990
✏Pages : 204
✏ISBN : UCSD:31822025464371
✏Available Language : English, Spanish, And French

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✏Nonlinear Three dimensional Waves on Water of Varying Depth Book Summary :

The Proceedings Of The Third International Workshop On Very Large Floating Structures Vlfs 99  Book PDF
✏Book Title : The Proceedings of the Third International Workshop on Very Large Floating Structures VLFS 99
✏Author : Rifat Cengiz Ertekin
✏Publisher :
✏Release Date : 1999
✏Pages : 919
✏ISBN : UCSD:31822029675303
✏Available Language : English, Spanish, And French

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✏The Proceedings of the Third International Workshop on Very Large Floating Structures VLFS 99 Book Summary :

📒Topics In Ocean Physics ✍ Scuola Internazionale di Fisica "Enrico Fermi". Corso (80 : 1980 : Varenna)

Topics In Ocean Physics Book PDF
✏Book Title : Topics in Ocean Physics
✏Author : Scuola Internazionale di Fisica "Enrico Fermi". Corso (80 : 1980 : Varenna)
✏Publisher : North Holland
✏Release Date : 1982
✏Pages : 550
✏ISBN : UVA:X001320829
✏Available Language : English, Spanish, And French

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✏Topics in Ocean Physics Book Summary :

Annales Geophysicae Book PDF
✏Book Title : Annales Geophysicae
✏Author :
✏Publisher :
✏Release Date : 1995
✏Pages :
✏ISBN : UOM:39015035206401
✏Available Language : English, Spanish, And French

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✏Annales Geophysicae Book Summary :

📒Transactions Of The American Society Of Civil Engineers ✍ American Society of Civil Engineers

Transactions Of The American Society Of Civil Engineers Book PDF
✏Book Title : Transactions of the American Society of Civil Engineers
✏Author : American Society of Civil Engineers
✏Publisher :
✏Release Date : 1982
✏Pages :
✏ISBN : UOM:39015004554112
✏Available Language : English, Spanish, And French

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✏Transactions of the American Society of Civil Engineers Book Summary : Vols. 29-30 contain papers of the International Engineering Congress, Chicago, 1893; v. 54, pts. A-F, papers of the International Engineering Congress, St. Louis, 1904.

Physical Review Book PDF
✏Book Title : Physical Review
✏Author :
✏Publisher :
✏Release Date : 1995-07
✏Pages :
✏ISBN : UOM:39076001561856
✏Available Language : English, Spanish, And French

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✏Physical Review Book Summary :

📒Solitary Waves In Plasmas And In The Atmosphere ✍ Vladimir Iosifovich Petviashvili

Solitary Waves In Plasmas And In The Atmosphere Book PDF
✏Book Title : Solitary Waves in Plasmas and in the Atmosphere
✏Author : Vladimir Iosifovich Petviashvili
✏Publisher : Taylor & Francis
✏Release Date : 1992
✏Pages : 248
✏ISBN : 2881247873
✏Available Language : English, Spanish, And French

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✏Solitary Waves in Plasmas and in the Atmosphere Book Summary : A unified exposition of the principles and recent advances in the solitary wave theory, increasingly significant in many scientific fields from plasma physics to ocean dynamics. The mathematics is of a rigor expected din graduates and researchers in physics. Introduces the theory of highly nonlinear phenomena in plasmas and in the atmosphere, an dhow they change under the influence of various characteristics of the media. Emphasizes recent stability studies using the Lzapunov method. First published in Russian sometime after 1988. Annotation copyrighted by Book News, Inc., Portland, OR

Reviews In Global Analysis 1980 86 As Printed In Mathematical Reviews Book PDF
✏Book Title : Reviews in Global Analysis 1980 86 as Printed in Mathematical Reviews
✏Author : American Mathematical Society
✏Publisher : Amer Mathematical Society
✏Release Date : 1988
✏Pages : 3920
✏ISBN : UCAL:B4342570
✏Available Language : English, Spanish, And French

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✏Reviews in Global Analysis 1980 86 as Printed in Mathematical Reviews Book Summary :

Physics Briefs Book PDF
✏Book Title : Physics Briefs
✏Author :
✏Publisher :
✏Release Date : 1993
✏Pages :
✏ISBN : UOM:39015027832933
✏Available Language : English, Spanish, And French

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✏Physics Briefs Book Summary :

Complex Wave Dynamics On Thin Films Book PDF
✏Book Title : Complex Wave Dynamics on Thin Films
✏Author : Hen-hong Chang
✏Publisher : Elsevier
✏Release Date : 2002-03-14
✏Pages : 412
✏ISBN : 0080529534
✏Available Language : English, Spanish, And French

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✏Complex Wave Dynamics on Thin Films Book Summary : Wave evolution on a falling film is a classical hydrodynamic instability whose rich wave dynamics have been carefully recorded in the last fifty years. Such waves are known to profoundly affect the mass and heat transfer of multi-phase industrial units. This book describes the collective effort of both authors and their students in constructing a comprehensive theory to describe the complex wave evolution from nearly harmonic waves at the inlet to complex spatio-temporal patterns involving solitary waves downstream. The mathematical theory represents a significant breakthrough from classical linear stability theories, which can only describe the inlet harmonic waves and also extends classical soliton theory for integrable systems to real solitrary wave dynamics with dissipation. One unique feature of falling-film solitary wave dynamics, which drives much of the spatio-temporal wave evolution, is the irreversible coalescence of such localized wave structures. It represents the first full description of a hydrodynamic instability from inception to developed chaos. This approach should prove useful for other complex hydrodynamic instabilities and would allow industrial engineers to better design their multi-phase apparati by exploiting the deciphered wave dynamics. This publication gives a comprehensive review of all experimental records and existing theories and significantly advances state of the art on the subject and are complimented by complex and attractive graphics from computational fluid mechanics.