Multi Periodic Waves In Shallow Water
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Author | : |
Publisher | : |
Total Pages | : 4 |
Release | : 1992 |
Genre | : |
ISBN | : |
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.
Author | : Joseph Bishop Keller |
Publisher | : |
Total Pages | : 0 |
Release | : 1947 |
Genre | : Hydrodynamics |
ISBN | : |
Author | : Joseph B Keller |
Publisher | : Legare Street Press |
Total Pages | : 0 |
Release | : 2023-07-18 |
Genre | : |
ISBN | : 9781019586051 |
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.
Author | : Peter John Bryant |
Publisher | : |
Total Pages | : |
Release | : 1972 |
Genre | : |
ISBN | : |
Author | : Joseph B. Keller |
Publisher | : Nabu Press |
Total Pages | : 34 |
Release | : 2013-10 |
Genre | : |
ISBN | : 9781293047156 |
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.
Author | : H. Segur |
Publisher | : |
Total Pages | : 74 |
Release | : 1984 |
Genre | : |
ISBN | : |
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).
Author | : Thomas J. Bridges |
Publisher | : Cambridge University Press |
Total Pages | : 299 |
Release | : 2016-02-04 |
Genre | : Science |
ISBN | : 1316558940 |
In the summer of 2014 leading experts in the theory of water waves gathered at the Newton Institute for Mathematical Sciences in Cambridge for four weeks of research interaction. A cross-section of those experts was invited to give introductory-level talks on active topics. This book is a compilation of those talks and illustrates the diversity, intensity, and progress of current research in this area. The key themes that emerge are numerical methods for analysis, stability and simulation of water waves, transform methods, rigorous analysis of model equations, three-dimensionality of water waves, variational principles, shallow water hydrodynamics, the role of deterministic and random bottom topography, and modulation equations. This book is an ideal introduction for PhD students and researchers looking for a research project. It may also be used as a supplementary text for advanced courses in mathematics or fluid dynamics.
Author | : |
Publisher | : |
Total Pages | : 1108 |
Release | : 1986 |
Genre | : Aeronautics |
ISBN | : |
Author | : J.K. Kevorkian |
Publisher | : Springer Science & Business Media |
Total Pages | : 642 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461239680 |
This book is a revised and updated version, including a substantial portion of new material, of our text Perturbation Methods in Applied Mathematics (Springer Verlag, 1981). We present the material at a level that assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate-level course on the subject. Perturbation methods, first used by astronomers to predict the effects of small disturbances on the nominal motions of celestial bodies, have now become widely used analytical tools in virtually all branches of science. A problem lends itself to perturbation analysis if it is "close" to a simpler problem that can be solved exactly. Typically, this closeness is measured by the occurrence of a small dimensionless parameter, E, in the governing system (consisting of differential equations and boundary conditions) so that for E = 0 the resulting system is exactly solvable. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of E. In a regular perturbation problem, a straightforward procedure leads to a system of differential equations and boundary conditions for each term in the asymptotic expansion. This system can be solved recursively, and the accuracy of the result improves as E gets smaller, for all values of the independent variables throughout the domain of interest. We discuss regular perturbation problems in the first chapter.
Author | : Padmaraj Vengayil |
Publisher | : |
Total Pages | : 284 |
Release | : 1986 |
Genre | : Banks (Oceanography) |
ISBN | : |