Download or read book The Solitary Wave and Periodic Waves in Shallow Water written by Joseph B Keller and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a detailed study of solitary waves and periodic waves in shallow water. The author, Joseph B. Keller, is a renowned mathematician with extensive expertise in applied mathematics. In this book, he provides a comprehensive analysis of the physical phenomena associated with the propagation of waves in shallow water. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book The Solitary Wave and Periodic Waves in Shallow Water written by Joseph Bishop Keller and published by . This book was released on 1947 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Solitary Wave and Periodic Waves in Shallow Water Classic Reprint written by Joseph B. Keller and published by Forgotten Books. This book was released on 2018-10-10 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Solitary Wave and Periodic Waves in Shallow Water Numbers in square brackets refer to the bibliography at the end of the article. The theory given by Boussinesq involves a number of phys ical assumptions in addition to those of the basic hydro dynamical theory; it also leads to a differential equa tion for the wave profile. Both of these methods assume that the depth of the water is small compared to some horizontal dimension, and they might be interpreted as developments of the whole problem in powers of the ratio of the depth to some horizontal dimension, such as wave length. However, because these procedures are so unsys tematic, it is not clear that they are equivalent to such developments, nor to what order of approximation the so lutions obtained are valid. The method of proceeding to higher approximations is also obscure. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Periodic Waves in Shallow Water written by Peter John Bryant and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Solitary Wave and Periodic Waves in Shallow Water Primary Source Edition written by Joseph B. Keller and published by Nabu Press. This book was released on 2013-10 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Download or read book Multi Periodic Waves in Shallow Water written by and published by . This book was released on 1992 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear ocean waves with two-dimensional surface patterns in shallow water are studied analytically and experimentally. The analytical model is a family of periodic solutions of the Kadomtsev-Petviashuili equation. The experiments demonstrate the accuracy of these solutions. When these two- dimensional waves shoal on a planar beach, they quickly generate an array of periodic rip currents. Mach reflections of cnoidal waves are also modelled by these KP solutions. Ocean waves, Two-dimensional, Nonlinear, Rip currents.
Download or read book An Analytical Model of Periodic Waves in Shallow Water Summary written by H. Segur and published by . This book was released on 1984 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: An explicit, analytical model is presented of finite amplitude waves in shallow water. The waves in question have two independent spatial periods, in two independent horizontal directions. Both short-crested and long-crested waves are available from the model. Every wave pattern is an exact solution of the Kadomtsev-Petviashvili equation, and is based on a Riemann theta function of genus 2. These bi-periodic waves are direct generalizations of the well-known (simply periodic) cnoidal waves. Just as cnoidal waves are often used as one-dimensional models of typical nonlinear, periodic waves in shallow water, these bi-periodic waves may be considered to represent typical nonlinear, periodic waves in shallow water without the assumption of one-dimensionality. (Author).
Download or read book Nonlinear Periodic Waves and Their Modulations written by Anatoli? Mikha?lovich Kamchatnov and published by World Scientific. This book was released on 2000 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the mathematical theory of nonlinear waves and solitons has made great progress, its applications to concrete physical problems are rather poor, especially when compared with the classical theory of linear dispersive waves and nonlinear fluid motion. The Whitham method, which describes the combining action of the dispersive and nonlinear effects as modulations of periodic waves, is not widely used by applied mathematicians and physicists, though it provides a direct and natural way to treat various problems in nonlinear wave theory. Therefore it is topical to describe recent developments of the Whitham theory in a clear and simple form suitable for applications in various branches of physics.This book develops the techniques of the theory of nonlinear periodic waves at elementary level and in great pedagogical detail. It provides an introduction to a Whitham's theory of modulation in a form suitable for applications. The exposition is based on a thorough analysis of representative examples taken from fluid mechanics, nonlinear optics and plasma physics rather than on the formulation and study of a mathematical theory. Much attention is paid to physical motivations of the mathematical methods developed in the book. The main applications considered include the theory of collisionless shock waves in dispersive systems and the nonlinear theory of soliton formation in modulationally unstable systems. Exercises are provided to amplify the discussion of important topics such as singular perturbation theory, Riemann invariants, the finite gap integration method, and Whitham equations and their solutions.
Download or read book The Design Wave in Shallow Water written by Robert L. Wiegel and published by . This book was released on 1955 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physicochemical Hydrodynamics written by Manual G. Verlarde and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1093 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains lecture notes and invited contributions presented at the NATO Advanced Study Institute and EPS Liquid State Conference on PHYSICOCHEMICAL HYDRODYNAMICS-PCH: INTERFACIAL PHENOMENA that were held July 1-15, 1986, in LA RABIDA (Huelva) SPAIN. Although we are aware of the difficulty in organizing the contents due to the broad and multidisciplinary aspects of PCH-Interfacial Phenomena, we have tried to accomodate papers by topics and have not followed the order in the presentation at the meetings. There is also no distinction between the ASI notes and Conference papers. We have done our best to offer a coverage as complete as possible of the field. However, we had difficulties coming from the fact that some authors were so busy that either did not find time to submit their contribution or did not have time to write a comprehensive paper. We also had to cope with very late arrivals, postdeadline valuable contributions that we felt had to be included here. Our gratitude goes to the NATO Scientific Affairs Division for its economic support and to the EPS Liquid State Committee for its sponsorship. Financial support also came from Asociacion Industrias Quimicas-Huelva (Spain), Caycit-Ministerio De Educacion Y Ciencia (Spain), Canon-Espana (Spain), Citibank-Espana (Spain), CNLS-Los Alamos Nat. Lab. (U. S. A. ), CSIC (Spain), EPS, ERT (Spain), ESA, Fotonica (Spain), IBM-Espana (Spain), Junta De Andalucia (Spain), NATO, NSF (U. S. A. ), ONR-London (U. S. A.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1986 with total page 1108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Hydrodynamics and Water Waves written by Bernard Le Mehaute and published by Springer Science & Business Media. This book was released on 2013-12-18 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Problems in the Theory of Water Waves written by Frederic Dias and published by American Mathematical Soc.. This book was released on 1996 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings featured in this book grew out of a conference attended by 40 applied mathematicians and physicists which was held at the International Center for Research in Mathematics in Luminy, France, in May 1995. This volume reviews recent developments in the mathematical theory of water waves. The following aspects are considered: modeling of various wave systems, mathematical and numerical analysis of the full water wave problem (the Euler equations with a free surface) and of asymptotic models (Korteweg-de Vries, Boussinesq, Benjamin-Ono, Davey-Stewartson, Kadomtsev-Petviashvili, etc.), and existence and stability of solitary waves.
Download or read book Transactions of the Second Army Conference on Applied Mathematics and Computing written by and published by . This book was released on 1986 with total page 948 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Probability Geometry and Integrable Systems written by Mark Pinsky and published by Cambridge University Press. This book was released on 2008-03-17 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reflects the range of mathematical interests of Henry McKean, to whom it is dedicated.
Download or read book Symbolic and Numerical Scientific Computation written by Franz Winkler and published by Springer Science & Business Media. This book was released on 2003-06-30 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the Second International Conference on Symbolic and Numerical Scientific Computation, SNSC 2001, held in Hagenberg, Austria, in September 2001. The 19 revised full papers presented were carefully selected during two rounds of reviewing and improvement. The papers are organized in topical sections on symbolics and numerics of differential equations, symbolics and numerics in algebra and geometry, and applications in physics and engineering.
Download or read book 3D Modeling of Nonlinear Wave Phenomena on Shallow Water Surfaces written by Iftikhar B. Abbasov and published by John Wiley & Sons. This book was released on 2018-01-31 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: With climate change, erosion, and human encroachment on coastal environments growing all over the world, it is increasingly important to protect populations and environments close to the sea from storms, tsunamis, and other events that can be not just costly to property but deadly. This book is one step in bringing the science of protection from these events forward, the most in-depth study of its kind ever published. The analytic and numerical modeling problems of nonlinear wave activities in shallow water are analyzed in this work. Using the author's unique method described herein, the equations of shallow water are solved, and asymmetries that cannot be described by the Stokes theory are solved. Based on analytical expressions, the impacts of dispersion effects to wave profiles transformation are taken into account. The 3D models of the distribution and refraction of nonlinear surface gravity wave at the various coast formations are introduced, as well. The work covers the problems of numerical simulation of the run-up of nonlinear surface gravity waves in shallow water, transformation of the surface waves for the 1D case, and models for the refraction of numerical modeling of the run-up of nonlinear surface gravity waves at beach approach of various slopes. 2D and 3D modeling of nonlinear surface gravity waves are based on Navier-Stokes equations. In 2D modeling the influence of the bottom of the coastal zone on flooding of the coastal zone during storm surges was investigated. Various stages of the run-up of nonlinear surface gravity waves are introduced and analyzed. The 3D modeling process of the run-up is tested for the coast protection work of the slope type construction. Useful for students and veteran engineers and scientists alike, this is the only book covering these important issues facing anyone working with coastal models and ocean, coastal, and civil engineering in this area.
