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Author : Roger Grimshaw
Publisher :
ISBN 13 : 9780868390796
Total Pages : 46 pages
Book Rating : 4.3/5 (97 download)
Download or read book Evolution Equations for Weakly Nonlinear, Long Internal Waves in a Rotating Fluid written by Roger Grimshaw and published by . This book was released on 1984 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrei V. Gaponov-Grekhov
Publisher : Springer Science & Business Media
ISBN 13 : 3642753086
Total Pages : 337 pages
Book Rating : 4.6/5 (427 download)
Download or read book Nonlinear Waves 3 written by Andrei V. Gaponov-Grekhov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1972 the Schools on Nonlinear Physics in Gorky have been a meeting place for Soviet Scientists working in this field. Since 1989 the proceedings appear in English. They present a good cross section of nonlinear physics in the USSR. This third volume emerged from material presented at the 1989 School. It contains sections dealing with nonlinear problems in physics and astrophysics, quantum and solid state physics, dynamical chaos and self-organization.
Author : R. Grimshaw
Publisher : WIT Press
ISBN 13 : 1845641574
Total Pages : 209 pages
Book Rating : 4.8/5 (456 download)
Download or read book Solitary Waves in Fluids written by R. Grimshaw and published by WIT Press. This book was released on 2007 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited by R.H.J. Grimshaw, this book covers the topic of solitary waves in fluids.
Author : Victoriano Carmona
Publisher : Springer
ISBN 13 : 3319667661
Total Pages : 428 pages
Book Rating : 4.3/5 (196 download)
Download or read book Nonlinear Systems, Vol. 1 written by Victoriano Carmona and published by Springer. This book was released on 2018-09-15 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science as well as engineering. It discusses nonlinear differential and differential equations, bifurcation theory for periodic orbits and global connections. The integrability and reversibility of planar vector fields and theoretical analysis of classic physical models are sketched. This first volume concentrates on the mathematical theory and computational techniques that are essential for the study of nonlinear science, a second volume deals with real-world nonlinear phenomena in condensed matter, biology and optics.
Author : Alfred Osborne
Publisher : Academic Press
ISBN 13 : 0080925103
Total Pages : 977 pages
Book Rating : 4.0/5 (89 download)
Download or read book Nonlinear Ocean Waves and the Inverse Scattering Transform written by Alfred Osborne and published by Academic Press. This book was released on 2010-04-07 with total page 977 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Gary C. Cohen
Publisher : SIAM
ISBN 13 : 9780898713503
Total Pages : 830 pages
Book Rating : 4.7/5 (135 download)
Download or read book Third International Conference on Mathematical and Numerical Aspects of Wave Propagation written by Gary C. Cohen and published by SIAM. This book was released on 1995-01-01 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the title conference. Speakers from 13 different countries were represented at the meeting. A broad range of topics in theoretical and applied wave propagation is covered.
Author : Eugene L. Allgower
Publisher : American Mathematical Soc.
ISBN 13 : 9780821896945
Total Pages : 788 pages
Book Rating : 4.8/5 (969 download)
Download or read book Computational Solution of Nonlinear Systems of Equations written by Eugene L. Allgower and published by American Mathematical Soc.. This book was released on 1990-04-03 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear equations arise in essentially every branch of modern science, engineering, and mathematics. However, in only a very few special cases is it possible to obtain useful solutions to nonlinear equations via analytical calculations. As a result, many scientists resort to computational methods. This book contains the proceedings of the Joint AMS-SIAM Summer Seminar, ``Computational Solution of Nonlinear Systems of Equations,'' held in July 1988 at Colorado State University. The aim of the book is to give a wide-ranging survey of essentially all of the methods which comprise currently active areas of research in the computational solution of systems of nonlinear equations. A number of ``entry-level'' survey papers were solicited, and a series of test problems has been collected in an appendix. Most of the articles are accessible to students who have had a course in numerical analysis.
Author : L.J. Pratt
Publisher : Springer Science & Business Media
ISBN 13 : 9400906773
Total Pages : 585 pages
Book Rating : 4.4/5 (9 download)
Download or read book The Physical Oceanography of Sea Straits written by L.J. Pratt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suppose one were given the task of mapping the general circulation in an unfamiliar ocean. The ocean, like our own, is subdivided into basins and marginal seas interconnected by sea straits. Assuming a limited budget for this undertaking, one would do well to choose the straits as observational starting points. To begin with, the currents flowing from one basin to the next, over possibly wide and time-varying paths, are confined to narrow and stable routes within the straits. Mass, heat and chemical budgets for individual basins can be formulated in terms of the fluxes measured across the straits using a relatively small number of instruments. The confinement of the flow by a strait can also give rise to profound dynamical conse quences including choking or hydraulic control, a process similar to that by which a dam regulates the flow from a reservoir. The funneling geometry can lead to enhanced tidal modulation and increased velocities, giving rise to local instabilities, mixing, internal bores, jumps, and other striking hydraulic and fine scale phenomena. In short, sea straits repre sent choke points which are observationally and dynamically strategic and which contain a full range of fascinating physical processes.
Author : Kolumban Hutter
Publisher : Springer Science & Business Media
ISBN 13 : 3642191126
Total Pages : 709 pages
Book Rating : 4.6/5 (421 download)
Download or read book Physics of Lakes written by Kolumban Hutter and published by Springer Science & Business Media. This book was released on 2011-07-29 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: The overwhelming focus of this 2nd volume of “Physics of Lakes” is adequately expressed by its subtitle “Lakes as Oscillators”. It deals with barotropic and baroclinic waves in homogeneous and stratified lakes on the rotating Earth and comprises 12 chapters, starting with rotating shallow-water waves, demonstrating their classification into gravity and Rossby waves for homogeneous and stratified water bodies. This leads to gravity waves in bounded domains of constant depth, Kelvin, Poincaré and Sverdrup waves, reflection of such waves in gulfs and rectangles and their description in sealed basins as barotropic ‘inertial waves proper’. The particular application to gravity waves in circular and elliptical basins of constant depth leads to the description of Kelvin-type and Poincaré-type waves and their balanced description in basins of arbitrary geometry on the rotating Earth. Consideration of two-, three- and n-layer fluids with sharp interfaces give rise to the description of gravity waves of higher order baroclinicity with experimental corroboration in a laboratory flume and e.g. in Lake of Lugano, Lake Banyoles and Lake Biwa. Barotropic wave modes in Lake Onega with complex geometry show that data and computational output require careful interpretation. Moreover, a summer field campaign in Lake of Lugano and its two-layer modal analysis show that careful statistical analyses of the data are requested to match data with computational results. Three chapters are devoted to topographic Rossby waves. Conditions are outlined for which these waves are negligibly affected by baroclinicity. Three classes of these large period modes are identified: channel modes, so-called Ball modes and bay modes, often with periods which lie very close together. The last chapter deals with an entire class of Chrystal-type equations for barotropic waves in elongated basins which incorporate the effects of the rotation of the Earth.
Author : Vasiliy Vlasenko
Publisher : Cambridge University Press
ISBN 13 : 9781139446075
Total Pages : 384 pages
Book Rating : 4.4/5 (46 download)
Download or read book Baroclinic Tides written by Vasiliy Vlasenko and published by Cambridge University Press. This book was released on 2005-07-14 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was first published in 2005. When an oceanic tidal wave that is primarily active on the water surface passes an ocean shelf or a region with a seamount, it is split into a less energetic surface wave and other internal modes with different wavelengths and propagation speeds. This cascading process, from the barotropic tides to the baroclinic components, leads to the transformation of tidal energy into turbulence and heat, an important process for the dynamics of the lower ocean. Baroclinic Tides demonstrates the analytical and numerical methods used to study the generation and evolution of baroclinic tides and, by comparison with experiments and observational data, shows how to distinguish and interpret internal waves. Strongly non-linear solitary internal waves, which are generated by internal tidal waves at the final stage of their evolution, are investigated in detail. This book is intended for researchers and graduate students of physical oceanography, geophysical fluid dynamics and hydroacoustics.
Author : John P. Boyd
Publisher : Springer Science & Business Media
ISBN 13 : 1461558255
Total Pages : 609 pages
Book Rating : 4.4/5 (615 download)
Download or read book Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics written by John P. Boyd and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first thorough examination of weakly nonlocal solitary waves, which are just as important in applications as their classical counterparts. The book describes a class of waves that radiate away from the core of the disturbance but are nevertheless very long-lived nonlinear disturbances.
Author : Philip L-f Liu
Publisher : World Scientific
ISBN 13 : 9814497835
Total Pages : 228 pages
Book Rating : 4.8/5 (144 download)
Download or read book Advances In Coastal And Ocean Engineering, Vol 3 written by Philip L-f Liu and published by World Scientific. This book was released on 1997-02-20 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review volume, the third in the series, presents the latest topics for discussion, which provides invaluable information to coastal and ocean engineers around the world. In the first paper of this volume, entitled “Internal Solitary Waves”, Grimshaw reviews the basic theory of weakly nonlinear waves in an incompressible density-stratified fluid. The internal solitary waves solutions and effects such as friction, refraction and finite amplitude on internal solitary waves are also discussed. In the second paper entitled “The 3/2-Power Law for Ocean Wind Waves and Its Applications”, Toba gives a thorough review on the field evidence and physical background of the 3/2-power law and the associated wind-wave energy spectra. Several wind-wave prediction models are also discussed. Goda, in his paper entitled “Directional Wave Spectrum and Its Engineering Applications”, gives a brief historical overview of the development of directional wave spectrum. He presents several standard formulas for directional spreading function for engineering applications and discusses the effects of directional spreading on nearshore currents and wave forces on coastal structures. In a companion paper entitled “Analysis of the Directional Wave Spectrum from Field Data”, Hashimoto describes the maximum entropy principle method, Bayesian directional spectrum estimation method and the extended maximum entropy method for estimating directional wave spectrum. Hashimoto also introduces a new developed Doppler-type directional wave meter for field measurements. Finally, in “Reliability-Based Design of Coastal Structures”, Barcharth introduces a design procedure that makes it possible to optimize a design and/or to design to a specific failure probability level.
Author : Roger Grimshaw
Publisher : Springer Science & Business Media
ISBN 13 : 0306480247
Total Pages : 286 pages
Book Rating : 4.3/5 (64 download)
Download or read book Environmental Stratified Flows written by Roger Grimshaw and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dynamics of flows in density-stratified fluids has been and remains now an important topic for scientific enquiry. Such flows arise in many contexts, ranging from industrial settings to the oceanic and atmospheric environments. It is the latter topic which is the focus of this book. Both the ocean and atmosphere are characterised by the basic vertical density stratification, and this feature can affect the dynamics on all scales ranging from the micro-scale to the planetary scale. The aim of this book is to provide a “state-of-the-art” account of stratified flows as they are relevant to the ocean and atmosphere with a primary focus on meso-scale phenomena; that is, on phenomena whose time and space scales are such that the density stratification is a dominant effect, so that frictional and diffusive effects on the one hand and the effects of the earth’s rotation on the other hand can be regarded as of less importance. This in turn leads to an emphasis on internal waves.
Author : Roger Grimshaw
Publisher : Springer Science & Business Media
ISBN 13 : 3211380256
Total Pages : 202 pages
Book Rating : 4.2/5 (113 download)
Download or read book Nonlinear Waves in Fluids: Recent Advances and Modern Applications written by Roger Grimshaw and published by Springer Science & Business Media. This book was released on 2007-03-23 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Lokenath Debnath
Publisher : Springer Science & Business Media
ISBN 13 : 1489928464
Total Pages : 602 pages
Book Rating : 4.4/5 (899 download)
Download or read book Nonlinear Partial Differential Equations for Scientists and Engineers written by Lokenath Debnath and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded and revised second edition is a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from diverse fields. Methods and properties of solutions, along with their physical significance, help make the book more useful for a diverse readership. The book is an exceptionally complete text/reference for graduates, researchers, and professionals in mathematics, physics, and engineering.
Author : Shigeki Morioka
Publisher : Springer Science & Business Media
ISBN 13 : 9401100578
Total Pages : 450 pages
Book Rating : 4.4/5 (11 download)
Download or read book IUTAM Symposium on Waves in Liquid/Gas and Liquid/Vapour Two-Phase Systems written by Shigeki Morioka and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: A IUTAM symposium on 'Waves in Liquid/Gas and Liquid/Vapor Two-Phase Systems' was held in Kyoto, Japan, 9-13 May 1994. Sixty-three scientists partici pated coming from ten countries, and forty-two lectures were presented. The list of participants and the program are included in this volume. The symposium was held in response to the request of the participants in the IUTAM symposium 'Adiabatic Waves in Liquid-Vapor System' held at Gottingen in 1989. At that time, the need for another symposium in about five years had been indicated by all the participants. This symposium intends to develop the subject of wave properties in more general liquid-gas two-phase systems. Topics in this symposium may be classified as (1) waves in liquid-gas bubble systems including interfacial effects, (2) waves in gas( vapor )-droplets systems, (3) waves in films or stratified systems, (4) waves with liquid-vapor transition, (5) waves with vapor-liquid transition, (6) wave propagation near the critical point and (7) waves with low pressure effect. As for topic (1), experiments, numerical simulations and analytical approaches to waves in bubly liquids were discussed. The importance of interbubble interactions through the liquid-field is now well established at least in terms of potential theory. There was also a progress concerning the well-posedness of governing equations for void waves. For pressure waves there were some new phenomena, such as bubble cluster formation and the occurrence of three-dimensional structures, in addition to a progress from more qualitative studies to quantitative ones.
Author : Philip L. F. Liu
Publisher : World Scientific
ISBN 13 : 9789810230166
Total Pages : 238 pages
Book Rating : 4.2/5 (31 download)
Download or read book Advances in Coastal and Ocean Engineering written by Philip L. F. Liu and published by World Scientific. This book was released on 1997 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review volume, the third in the series, presents the latest topics for discussion, which provides invaluable information to coastal and ocean engineers around the world. In the first paper of this volume, entitled ?Internal Solitary Waves?, Grimshaw reviews the basic theory of weakly nonlinear waves in an incompressible density-stratified fluid. The internal solitary waves solutions and effects such as friction, refraction and finite amplitude on internal solitary waves are also discussed. In the second paper entitled ?The 3/2-Power Law for Ocean Wind Waves and Its Applications?, Toba gives a thorough review on the field evidence and physical background of the 3/2-power law and the associated wind-wave energy spectra. Several wind-wave prediction models are also discussed. Goda, in his paper entitled ?Directional Wave Spectrum and Its Engineering Applications?, gives a brief historical overview of the development of directional wave spectrum. He presents several standard formulas for directional spreading function for engineering applications and discusses the effects of directional spreading on nearshore currents and wave forces on coastal structures. In a companion paper entitled ?Analysis of the Directional Wave Spectrum from Field Data?, Hashimoto describes the maximum entropy principle method, Bayesian directional spectrum estimation method and the extended maximum entropy method for estimating directional wave spectrum. Hashimoto also introduces a new developed Doppler-type directional wave meter for field measurements. Finally, in ?Reliability-Based Design of Coastal Structures?, Barcharth introduces a design procedure that makes it possible to optimize a design and/or to design to a specific failure probability level.
