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Dispersive Water Waves In One And Two Dimensions
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Book Synopsis The Water Waves Problem by : David Lannes
Download or read book The Water Waves Problem written by David Lannes and published by American Mathematical Soc.. This book was released on 2013-05-08 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a comprehensive and self-contained study on the theory of water waves equations, a research area that has been very active in recent years. The vast literature devoted to the study of water waves offers numerous asymptotic models.
Book Synopsis Waves in Fluids by : Sir M. J. Lighthill
Download or read book Waves in Fluids written by Sir M. J. Lighthill and published by Cambridge University Press. This book was released on 2001-11-15 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive textbook in which the author describes the science of waves in liquids and gases. Drawing on a subject of enormous extent and variety, he provides his readers with a thorough analysis of the most important and representative types of waves including sound waves, shock waves, waterwaves of all kinds, and the so-called internal waves (inside atmospheres and oceans) due to intensity stratification. Emphasis throughout is on the most generally useful fundamental ideas of wave science, including the principles of how waves interact with flows. This standard work on one of the great subdivisions of the dynamics of fluids is lucidly written and will be invaluable to engineers, physicists, geophysicists, applied mathematicians or any research worker concerned with wave motions or fluid fllows. It is especially suitable as a textbook for courses at the final year undergraduate or graduate level.
Book Synopsis Solitary Waves in Dispersive Complex Media by : Vasily Y. Belashov
Download or read book Solitary Waves in Dispersive Complex Media written by Vasily Y. Belashov and published by Springer Science & Business Media. This book was released on 2006-01-20 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deals with the theoretical, analytical and advanced numerical study of the structure and dynamics of one-dimensional as well as two- and three-dimensional solitons and nonlinear waves described by Korteweg-de Vries (KdV), Kadomtsev-Petviashvili (KP), nonlinear Schrodinger (NLS) and derivative NLS (DNLS) classes of equations.
Book Synopsis Nonlinear Dispersive Waves by : Mark J. Ablowitz
Download or read book Nonlinear Dispersive Waves written by Mark J. Ablowitz and published by Cambridge University Press. This book was released on 2011-09-08 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg–de Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit special solutions including those commonly known as solitons. This book describes the underlying approximation techniques and methods for finding solutions to these and other equations. The concepts and methods covered include wave dispersion, asymptotic analysis, perturbation theory, the method of multiple scales, deep and shallow water waves, nonlinear optics including fiber optic communications, mode-locked lasers and dispersion-managed wave phenomena. Most chapters feature exercise sets, making the book suitable for advanced courses or for self-directed learning. Graduate students and researchers will find this an excellent entry to a thriving area at the intersection of applied mathematics, engineering and physical science.
Book Synopsis Twenty-Second Symposium on Naval Hydrodynamics by : National Research Council
Download or read book Twenty-Second Symposium on Naval Hydrodynamics written by National Research Council and published by National Academies Press. This book was released on 2000-03-02 with total page 1039 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Twenty-Second Symposium on Naval Hydrodynamics was held in Washington, D.C., from August 9-14, 1998. It coincided with the 100th anniversary of the David Taylor Model Basin. This international symposium was organized jointly by the Office of Naval Research (Mechanics and Energy Conversion S&T Division), the National Research Council (Naval Studies Board), and the Naval Surface Warfare Center, Carderock Division (David Taylor Model Basin). This biennial symposium promotes the technical exchange of naval research developments of common interest to all the countries of the world. The forum encourages both formal and informal discussion of the presented papers, and the occasion provides an opportunity for direct communication between international peers.
Book Synopsis Differential Geometry, Calculus of Variations, and Their Applications by : George M. Rassias
Download or read book Differential Geometry, Calculus of Variations, and Their Applications written by George M. Rassias and published by CRC Press. This book was released on 2023-05-31 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a series of papers on some of the longstanding research problems of geometry, calculus of variations, and their applications. It is suitable for advanced graduate students, teachers, research mathematicians, and other professionals in mathematics.
Book Synopsis Report of NRL Progress by : Naval Research Laboratory (U.S.)
Download or read book Report of NRL Progress written by Naval Research Laboratory (U.S.) and published by . This book was released on 1975-02 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Waves and Mean Flows by : Oliver Bühler
Download or read book Waves and Mean Flows written by Oliver Bühler and published by Cambridge University Press. This book was released on 2009-08-20 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern account of the nonlinear interactions between waves and mean flows such as shear flows and vortices. It can be used as a fundamental reference, a course text, or by geophysicists and physicists needing an introduction to this important area in fundamental fluid dynamics and atmosphere-ocean science.
Book Synopsis Symmetry, Phase Modulation and Nonlinear Waves by : Thomas J. Bridges
Download or read book Symmetry, Phase Modulation and Nonlinear Waves written by Thomas J. Bridges and published by Cambridge University Press. This book was released on 2017-07-03 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear waves are pervasive in nature, but are often elusive when they are modelled and analysed. This book develops a natural approach to the problem based on phase modulation. It is both an elaboration of the use of phase modulation for the study of nonlinear waves and a compendium of background results in mathematics, such as Hamiltonian systems, symplectic geometry, conservation laws, Noether theory, Lagrangian field theory and analysis, all of which combine to generate the new theory of phase modulation. While the build-up of theory can be intensive, the resulting emergent partial differential equations are relatively simple. A key outcome of the theory is that the coefficients in the emergent modulation equations are universal and easy to calculate. This book gives several examples of the implications in the theory of fluid mechanics and points to a wide range of new applications.
Book Synopsis Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation by : Alfredo Berm?dez
Download or read book Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation written by Alfredo Berm?dez and published by SIAM. This book was released on 2000-01-01 with total page 1062 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference was held in Santiago de Compostela, Spain, July 10-14, 2000. This volume contains papers presented at the conference covering a broad range of topics in theoretical and applied wave propagation in the general areas of acoustics, electromagnetism, and elasticity. Both direct and inverse problems are well represented. This volume, along with the three previous ones, presents a state-of-the-art primer for research in wave propagation. The conference is conducted by the Institut National de Recherche en Informatique et en Automatique with the cooperation of SIAM.
Book Synopsis Mathematical Physics and Its Interactions by : Shuji Machihara
Download or read book Mathematical Physics and Its Interactions written by Shuji Machihara and published by Springer Nature. This book was released on with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Dispersive Equations by : Christian Klein
Download or read book Nonlinear Dispersive Equations written by Christian Klein and published by Springer Nature. This book was released on 2021 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Dispersive Equations are partial differential equations that naturally arise in physical settings where dispersion dominates dissipation, notably hydrodynamics, nonlinear optics, plasma physics and Bose-Einstein condensates. The topic has traditionally been approached in different ways, from the perspective of modeling of physical phenomena, to that of the theory of partial differential equations, or as part of the theory of integrable systems. This monograph offers a thorough introduction to the topic, uniting the modeling, PDE and integrable systems approaches for the first time in book form. The presentation focuses on three "universal" families of physically relevant equations endowed with a completely integrable member: the Benjamin-Ono, Davey-Stewartson, and Kadomtsev-Petviashvili equations. These asymptotic models are rigorously derived and qualitative properties such as soliton resolution are studied in detail in both integrable and non-integrable models. Numerical simulations are presented throughout to illustrate interesting phenomena. By presenting and comparing results from different fields, the book aims to stimulate scientific interactions and attract new students and researchers to the topic. To facilitate this, the chapters can be read largely independently of each other and the prerequisites have been limited to introductory courses in PDE theory.
Book Synopsis Encyclopedia of Environmental Science and Engineering by : James R. Pfafflin
Download or read book Encyclopedia of Environmental Science and Engineering written by James R. Pfafflin and published by Taylor & Francis. This book was released on 1992 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Physics of Solitons by : Thierry Dauxois
Download or read book Physics of Solitons written by Thierry Dauxois and published by Cambridge University Press. This book was released on 2006-03-09 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook gives an instructive view of solitons and their applications for advanced students of physics.
Book Synopsis Nonlinear Electrodynamics in Biological Systems by : W. Adey
Download or read book Nonlinear Electrodynamics in Biological Systems written by W. Adey and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past half century has seen an extraordinary growth in the fields of cellular and molecular biology. From simple morphologi cal concepts of cells as the essential units of living matter there has been an ever-sharper focus on functional organization of living systems, with emphasis on molecular dynamics. Thus, life forms have come to be defined increasingly in terms of metabolism, growth, reproduction and responses to environmental perturbations. Since these properties occur in varying degrees in systems below the level of cellular organization, there has been a blurring of older models that restricted the concepts of life to cellular systems. At the same time, a search has begun for elemental as pects of molecular and atomic behavior that might better define properties common to all life forms. This search has led to an examination of nonlinear behavior in biological macromolecules, whether in response to electrical or chemical stimulation, for example, or as a means of signaling along a molecular chain, or as a means of energy transfer. Experimental knowledge in this area has grown rapidly in the past decade, and in some respects has outstripped theoretical models adequate to ex plain these new observations. Nevertheless, it can be claimed that there is now an impressive body of experiments implicating non linear, nonequilibrium processes as fundamental steps in sequential operations of biological systems.
Book Synopsis Nonlinear Waves by : Lokenath Debnath
Download or read book Nonlinear Waves written by Lokenath Debnath and published by CUP Archive. This book was released on 1983-12-30 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Nonlinear Water Waves by : Adrian Constantin
Download or read book Nonlinear Water Waves written by Adrian Constantin and published by Springer. This book was released on 2016-06-28 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together four lecture courses on modern aspects of water waves. The intention, through the lectures, is to present quite a range of mathematical ideas, primarily to show what is possible and what, currently, is of particular interest. Water waves of large amplitude can only be fully understood in terms of nonlinear effects, linear theory being not adequate for their description. Taking advantage of insights from physical observation, experimental evidence and numerical simulations, classical and modern mathematical approaches can be used to gain insight into their dynamics. The book presents several avenues and offers a wide range of material of current interest. The lectures provide a useful source for those who want to begin to investigate how mathematics can be used to improve our understanding of water wave phenomena. In addition, some of the material can be used by those who are already familiar with one branch of the study of water waves, to learn more about other areas.