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Author : Sri Redjeki
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (46 download)
Download or read book Korteweg-de Vries Equation for Surface Waves Over Uneven Bottom written by Sri Redjeki and published by . This book was released on 1991 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maarten W. Dingemans
Publisher : World Scientific
ISBN 13 : 9789810239947
Total Pages : 508 pages
Book Rating : 4.2/5 (399 download)
Download or read book Water Wave Propagation Over Uneven Bottoms: Linear wave propagation written by Maarten W. Dingemans and published by World Scientific. This book was released on 2000 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maarten W Dingemans
Publisher : World Scientific
ISBN 13 : 9814506583
Total Pages : 1015 pages
Book Rating : 4.8/5 (145 download)
Download or read book Water Wave Propagation Over Uneven Bottoms (In 2 Parts) written by Maarten W Dingemans and published by World Scientific. This book was released on 1997-01-07 with total page 1015 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this book is to provide a review of techniques available for the problems of wave propagation in regions with uneven beds as they are encountered in coastal areas. The view taken is that the techniques should be useful for application in advisory practice. However, effort is put into a precise definition of the underlying physical principles, so that the validity of the methods used can be evaluated. Both linear and nonlinear wave propagation techniques are discussed. Because of its length, the book comes in two parts: Part 1 covers primarily linear wave propagation, and Part 2 covers nonlinear wave propagation.
Author : Steven Ivan Dejak
Publisher :
ISBN 13 : 9780494219140
Total Pages : 158 pages
Book Rating : 4.2/5 (191 download)
Download or read book Long-time Dynamics of Korteweg-de Vries Solitary Waves Over a Variable Bottom written by Steven Ivan Dejak and published by . This book was released on 2006 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study the dynamics of solitons of KdV-type equations arising in the theory of shallow water waves propagating over channels with variable bottom. Under a rescaling, these waves satisfy the variable bottom generalized Korteweg-de Vries (bKdV) equation & part;tu = - & part;x(62x u + f(u) - b(t, x)u) with f = u2 and b related to the varying channel depth. The main result of the thesis is concerned with solitary wave dynamics of the bKdV with f a general nonlinearity (modulo some constraints) and b a small, bounded and slowly varying function. We prove that under suitable conditions on b and f, the bKdV is globally well-posed. With the knowledge that solutions exist, we study the long time behaviour of solutions with initial conditions close to a stable, b = 0 solitary wave. We prove that for long time intervals, such solutions have the form of a solitary wave, whose centre and scale evolve according to a certain dynamcal law involving the function b(t, x), plus an H 1(R)-small fluctuation. As motivation, we also describe how the bKdV equation appears in the field of water waves.
Author : Chiang C. Mei
Publisher : World Scientific
ISBN 13 : 9789971507893
Total Pages : 770 pages
Book Rating : 4.5/5 (78 download)
Download or read book The Applied Dynamics of Ocean Surface Waves written by Chiang C. Mei and published by World Scientific. This book was released on 1989 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present selected theoretical topics on ocean wave dynamics, including basic principles and applications in coastal and offshore engineering, all from the deterministic point of view. The bulk of the material deals with the linearized theory.
Author : Robert A. Meyers
Publisher : Springer Science & Business Media
ISBN 13 : 1461418054
Total Pages : 1885 pages
Book Rating : 4.4/5 (614 download)
Download or read book Mathematics of Complexity and Dynamical Systems written by Robert A. Meyers and published by Springer Science & Business Media. This book was released on 2011-10-05 with total page 1885 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.
Author : Chiang C Mei
Publisher : World Scientific Publishing Company
ISBN 13 : 981436570X
Total Pages : 1135 pages
Book Rating : 4.8/5 (143 download)
Download or read book Theory And Applications Of Ocean Surface Waves (In 2 Parts) written by Chiang C Mei and published by World Scientific Publishing Company. This book was released on 2005-07-26 with total page 1135 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an expanded version of The Applied Dynamics of Ocean Surface Waves. It presents theoretical topics on ocean wave dynamics, including basic principles and applications in coastal and offshore engineering as well as coastal oceanography. Advanced analytical and numerical techniques are applied, such as singular perturbations. In this expanded version, three chapters on recent developments have been added. The first is on multiple scattering by periodic or random bathymetry. The second is on Zakharov's theory of nonlinear wave fields with broad spectra. The third is an extensive discussion of powerful numerical techniques for highly nonlinear waves. Other new topics include infragravity waves, upstream solitons, Venice storm gates, etc. In addition, there are many new exercises.Theory and Applications of Ocean Surface Waves will be invaluable for graduate students and researchers in coastal and ocean engineering, geophysical fluid dynamicists interested in water waves, and theoretical scientists and applied mathematicians wishing to develop new techniques for challenging problems or to apply techniques existing elsewhere.
Author : Chiang C Mei
Publisher : World Scientific Publishing Company
ISBN 13 : 9813147202
Total Pages : 1240 pages
Book Rating : 4.8/5 (131 download)
Download or read book Theory And Applications Of Ocean Surface Waves (Third Edition) (In 2 Volumes) written by Chiang C Mei and published by World Scientific Publishing Company. This book was released on 2018-03-15 with total page 1240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book set is a revised version of the 2005 edition of Theory and Applications of Ocean Surface Waves. It presents theoretical topics on ocean wave dynamics, including basic principles and applications in coastal and offshore engineering as well as coastal oceanography. Advanced analytical and numerical techniques are demonstrated. In this revised version, five chapters on recent developments in linear and nonlinear aspects have been added. The first is on detailed analyses in Wave/Structure Interactions. The second is a new section on Waves through a Marine Forest, a topic motivated by its possible relevance to tsunami reduction. The third is on Long Waves in Shallow Water and the fourth is an update on Broad-Banded Nonlinear Surface Waves in the Open Sea to include new findings in this topic. The fifth is an expanded chapter on Numerical Simulation of Nonlinear Wave Dynamics to include predictions of nonlinear spectral evolution and rogue wave occurrence and dynamics using large-scale phase-resolved simulations. This revised version also includes recent developments in precorrected-FFT accelerated O(N log N) low- and high-order boundary element methods for the computation of fully nonlinear wave-wave and wave-body interactions.Theory and Applications of Ocean Surface Waves (2016) will be invaluable for graduate students and researchers in coastal and ocean engineering, geophysical fluid dynamicists interested in water waves, and theoretical scientists and applied mathematicians wishing to develop new techniques for challenging problems or to apply techniques existing elsewhere.
Author : Jeong Sook Im
Publisher :
ISBN 13 :
Total Pages : 129 pages
Book Rating : 4.:/5 (743 download)
Download or read book Comparison of the Korteweg-de Vries (KdV) Equation with the Euler Equations with Irrotational Initial Conditions written by Jeong Sook Im and published by . This book was released on 2010 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: The standard mathematical model for the motion of surface waves in shallow water is the Euler equations for inviscid, incompressible flow, supplemented by free surface conditions. Without known explicit solutions in a simple form, simplifying assumptions are invoked to derive weakly nonlinear models and other variants that describe wave propagation. These models have provided good results in various applications, but their region of validity is not known precisely. The goal in this thesis is to assess the asymptotic errors in the KdV model by computing solutions to Euler's equations numerically and comparing them with the predictions from the KdV equation directly.
Author : S.N. Atluri
Publisher : Springer Science & Business Media
ISBN 13 : 3642796540
Total Pages : 3181 pages
Book Rating : 4.6/5 (427 download)
Download or read book Computational Mechanics ’95 written by S.N. Atluri and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 3181 pages. Available in PDF, EPUB and Kindle. Book excerpt: AI!, in the earlier conferences (Tokyo, 1986; Atlanta, 1988, Melbourne, 1991; and Hong Kong, 1992) the response to the call for presentations at ICES-95 in Hawaii has been overwhelming. A very careful screening of the extended abstracts resulted in about 500 paper being accepted for presentation. Out of these, written versions of about 480 papers reached the conference secretariat in Atlanta in time for inclusion in these proceedings. The topics covered at ICES-95 range over the broadest spectrum of computational engineering science. The editors thank the international scientific committee, for their advice and encouragement in making ICES-95 a successful scientific event. Special thanks are expressed to the International Association for Boundary Elements Methods for hosting IABEM-95 in conjunction with ICES-95. The editors here express their deepest gratitude to Ms. Stacy Morgan for her careful handling of a myriad of details of ICES-95, often times under severe time constraints. The editors hope that the readers of this proceedings will find a kaleidoscopic view of computational engineering in the year 1995, as practiced in various parts of the world. Satya N. Atluri Atlanta, Georgia, USA Genki Yagawa Tokyo,Japan Thomas A. Cruse Nashville, TN, USA Organizing Committee Professor Genki Yagawa, University of Tokyo, Japan, Chair Professor Satya Atluri, Georgia Institute of Technology, U.S.A.
Author :
Publisher :
ISBN 13 :
Total Pages : 1198 pages
Book Rating : 4.3/5 (91 download)
Download or read book Journal of Physical Oceanography written by and published by . This book was released on 1978 with total page 1198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gayaz Khakimzyanov
Publisher : Springer Nature
ISBN 13 : 3030462676
Total Pages : 296 pages
Book Rating : 4.0/5 (34 download)
Download or read book Dispersive Shallow Water Waves written by Gayaz Khakimzyanov and published by Springer Nature. This book was released on 2020-09-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves. Including both an overview of existing dispersive models, as well as recent breakthroughs, the authors maintain an ideal balance between theory and applications. From modelling tsunami waves to smaller scale coastal processes, this book will be an indispensable resource for those looking to be brought up-to-date in this active area of scientific research. Beginning with an introduction to various dispersive long wave models on the flat space, the authors establish a foundation on which readers can confidently approach more advanced mathematical models and numerical techniques. The first two chapters of the book cover modelling and numerical simulation over globally flat spaces, including adaptive moving grid methods along with the operator splitting approach, which was historically proposed at the Institute of Computational Technologies at Novosibirsk. Later chapters build on this to explore high-end mathematical modelling of the fluid flow over deformed and rotating spheres using the operator splitting approach. The appendices that follow further elaborate by providing valuable insight into long wave models based on the potential flow assumption, and modified intermediate weakly nonlinear weakly dispersive equations. Dispersive Shallow Water Waves will be a valuable resource for researchers studying theoretical or applied oceanography, nonlinear waves as well as those more broadly interested in free surface flow dynamics.
Author :
Publisher :
ISBN 13 :
Total Pages : 628 pages
Book Rating : 4.:/5 (26 download)
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lokenath Debnath
Publisher : CUP Archive
ISBN 13 : 9780521254687
Total Pages : 376 pages
Book Rating : 4.2/5 (546 download)
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.
Author : Pengzhi Lin
Publisher : CRC Press
ISBN 13 : 1482265915
Total Pages : 500 pages
Book Rating : 4.4/5 (822 download)
Download or read book Numerical Modeling of Water Waves written by Pengzhi Lin and published by CRC Press. This book was released on 2008-04-30 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling large-scale wave fields and their interaction with coastal and offshore structures has become much more feasible over the last two decades with increases in computer speeds. Wave modelling can be viewed as an extension of wave theory, a mature and widely published field, applied to practical engineering through the use of computer tools.
Author : Eugene L. Allgower
Publisher : American Mathematical Soc.
ISBN 13 : 9780821896976
Total Pages : 476 pages
Book Rating : 4.8/5 (969 download)
Download or read book Exploiting Symmetry in Applied and Numerical Analysis written by Eugene L. Allgower and published by American Mathematical Soc.. This book was released on 1993 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry plays an important role in theoretical physics, applied analysis, classical differential equations, and bifurcation theory. Although numerical analysis has incorporated aspects of symmetry on an ad hoc basis, there is now a growing collection of numerical analysts who are currently attempting to use symmetry groups and representation theory as fundamental tools in their work. This book contains the proceedings of an AMS-SIAM Summer Seminar in Applied Mathematics, held in 1992 at Colorado State University. The seminar, which drew about 100 scientists from around the world, was intended to stimulate the systematic incorporation of symmetry and group theoretical concepts into numerical methods. The papers in this volume have been refereed and will not be published elsewhere.
Author : Walter Lacarbonara
Publisher : Springer Nature
ISBN 13 : 3030811700
Total Pages : 598 pages
Book Rating : 4.0/5 (38 download)
Download or read book Advances in Nonlinear Dynamics written by Walter Lacarbonara and published by Springer Nature. This book was released on 2022-03-01 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third of three volumes includes papers from the second series of NODYCON, which was held virtually in February of 2021. The conference papers reflect a broad coverage of topics in nonlinear dynamics, ranging from traditional topics from established streams of research to those from relatively unexplored and emerging venues of research. These include · Complex dynamics of COVID-19: modeling, prediction and control · Nonlinear phenomena in bio-systems and eco-systems · Energy harvesting · MEMS/NEMS · Multifunctional structures, materials and metamaterials · Nonlinear waves · Chaotic systems, stochasticity, and uncertainty
