Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis

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Publisher : SIAM
ISBN 13 : 9781611971873
Total Pages : 333 pages
Book Rating : 4.9/5 (718 download)

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Book Synopsis Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis by : Adrian Constantin

Download or read book Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis written by Adrian Constantin and published by SIAM. This book was released on 2011-01-01 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This overview of some of the main results and recent developments in nonlinear water waves presents fundamental aspects of the field and discusses several important topics of current research interest. It contains selected information about water-wave motion for which advanced mathematical study can be pursued, enabling readers to derive conclusions that explain observed phenomena to the greatest extent possible. The author discusses the underlying physical factors of such waves and explores the physical relevance of the mathematical results that are presented. The material is an expanded version of the author's lectures delivered at the NSF-CBMS Regional Research Conference in the Mathematical Sciences organized by the Mathematics Department of the University of Texas-Pan American in 2010.

Nonlinear Water Waves

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Author :
Publisher : Academic Press
ISBN 13 :
Total Pages : 576 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Nonlinear Water Waves by : Lokenath Debnath

Download or read book Nonlinear Water Waves written by Lokenath Debnath and published by Academic Press. This book was released on 1994-03-29 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave motion in water is one of the most striking observable phenomena in nature. Throughout the twentieth century, development of the linearized theory of wave motion in fluids and hydrodynamic stability has been steady and significant. In the last three decades there have been remarkable developments in nonlinear dispersive waves in general, nonlinear water waves in particular, and nonlinear instability phenomena. New solutions are now available for waves modulatedin both space and time, which exhibit new phenomena as diverse as solitons, resonant interactions, side-band instability, and wave-breaking. Other achievements include the discovery of soliton interactions, and the Inverse Scattering Transform method forfinding the explicit exact solution for several canonical nonlinear partial differential equations. This monograph is the first to summarize the research on nonlinear wave phenomena over the past three decades, and it also presents numerous applications in physics, geophysics, and engineering.

Advances in Numerical Simulation of Nonlinear Water Waves

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Author :
Publisher : World Scientific
ISBN 13 : 9812836497
Total Pages : 700 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Advances in Numerical Simulation of Nonlinear Water Waves by : Qingwei Ma

Download or read book Advances in Numerical Simulation of Nonlinear Water Waves written by Qingwei Ma and published by World Scientific. This book was released on 2010 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deals with numerical methods that have been employed to simulate nonlinear water waves. This book covers important applications, such as overturning waves, breaking waves, waves generated by landslides, freak waves, solitary waves, tsunamis, sloshing waves, interaction of extreme waves with beaches, and interaction with fixed structures.

Nonlinear Water Waves

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Author :
Publisher : Springer Nature
ISBN 13 : 3030335364
Total Pages : 218 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Nonlinear Water Waves by : David Henry

Download or read book Nonlinear Water Waves written by David Henry and published by Springer Nature. This book was released on 2019-11-27 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The motion of water is governed by a set of mathematical equations which are extremely complicated and intractable. This is not surprising when one considers the highly diverse and intricate physical phenomena which may be exhibited by a given body of water. Recent mathematical advances have enabled researchers to make major progress in this field, reflected in the topics featured in this volume. Cutting-edge techniques and tools from mathematical analysis have generated strong rigorous results concerning the qualitative and quantitative physical properties of solutions of the governing equations. Furthermore, accurate numerical computations of fully-nonlinear steady and unsteady water waves in two and three dimensions have contributed to the discovery of new types of waves. Model equations have been derived in the long-wave and modulational regime using Hamiltonian formulations and solved numerically. This book brings together interdisciplinary researchers working in the field of nonlinear water waves, whose contributions range from survey articles to new research results which address a variety of aspects in nonlinear water waves. It is motivated by a workshop which was organised at the Erwin Schrödinger International Institute for Mathematics and Physics in Vienna, November 27-December 7, 2017. The key aim of the workshop was to describe, and foster, new approaches to research in this field. This is reflected in the contents of this book, which is aimed to stimulate both experienced researchers and students alike.

Progress in Wave-current Interactions

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (869 download)

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Book Synopsis Progress in Wave-current Interactions by : Adrian Constantin

Download or read book Progress in Wave-current Interactions written by Adrian Constantin and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Water Waves

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Author :
Publisher : Springer
ISBN 13 : 3319314629
Total Pages : 237 pages
Book Rating : 4.3/5 (193 download)

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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.

Optical Remote Sensing of Ocean Hydrodynamics

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Publisher : CRC Press
ISBN 13 : 1351119168
Total Pages : 310 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Optical Remote Sensing of Ocean Hydrodynamics by : Victor Raizer

Download or read book Optical Remote Sensing of Ocean Hydrodynamics written by Victor Raizer and published by CRC Press. This book was released on 2019-03-04 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optical Remote Sensing is one of the main technologies used in sea surface monitoring. Optical Remote Sensing of Ocean Hydrodynamics investigates and demonstrates capabilities of optical remote sensing technology for enhanced observations and detection of ocean environments. It provides extensive knowledge of physical principles and capabilities of optical observations of the oceans at high spatial resolution, 1-4m, and on the observations of surface wave hydrodynamic processes. It also describes the implementation of spectral-statistical and fusion algorithms for analyses of multispectral optical databases and establishes physics-based criteria for detection of complex wave phenomena and hydrodynamic disturbances including assessment and management of optical databases. This book explains the physical principles of high-resolution optical imagery of the ocean surface, discusses for the first time the capabilities of observing hydrodynamic processes and events, and emphasizes the integration of optical measurements and enhanced data analysis. It also covers both the assessment and the interpretation of dynamic multispectral optical databases and includes applications for advanced studies and nonacoustic detection. This book is an invaluable resource for researches, industry professionals, engineers, and students working on cross-disciplinary problems in ocean hydrodynamics, optical remote sensing of the ocean and sea surface remote sensing. Readers in the fields of geosciences and remote sensing, applied physics, oceanography, satellite observation technology, and optical engineering will learn the theory and practice of optical interactions with the ocean.

Nonlinear Dispersive Waves

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Publisher : Springer Nature
ISBN 13 : 3031635124
Total Pages : 288 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Nonlinear Dispersive Waves by : David Henry

Download or read book Nonlinear Dispersive Waves written by David Henry and published by Springer Nature. This book was released on with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Water Waves

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642833314
Total Pages : 457 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Nonlinear Water Waves by : Kiyoshi Horikawa

Download or read book Nonlinear Water Waves written by Kiyoshi Horikawa and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-linear behaviour of water waves has recently drawn much attention of scientists and engineers in the fields of oceanography, applied mathematics, coastal engineering, ocean engineering, naval architecture, and others. The IUTAM Symposium on Non-linear Water Waves was organized with the aim of bringing together researchers who are actively studying non-linear water waves from various viewpoints. The papers contained in this book are related to the generation and deformation of non-linear water waves and the non-linear interaction between waves and bodies. That is, various types of non-linear water waves were analyzed on the basis of various well-known equations, experimental studies on breaking waves were presented, and numerical studies of calculating second-order non-linear wave-body interaction were proposed.

Numerical Modeling of Water Waves

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Publisher : CRC Press
ISBN 13 : 0203937759
Total Pages : 499 pages
Book Rating : 4.2/5 (39 download)

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Book Synopsis Numerical Modeling of Water Waves by : Pengzhi Lin

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 499 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. Information about the various wave models which have been developed is often widely scattered in the literature, and consequently this is one of the first books devoted to wave models and their applications. At the core of the book is an introduction to various types of wave models. For each model, the theoretical assumptions, the application range, and the advantages and limitations are elaborated. The combined use of different wave models from large-scale to local-scale is highlighted with a detailed discussion of the application and matching of boundary conditions. At the same time the book provides a grounding in hydrodynamics, wave theory, and numerical methods which underlie wave modelling. It presents the theoretical background and also shows how to use these models for achieving different engineering tasks, illustrated and reinforced with case study examples.

The Water Waves Problem

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821894706
Total Pages : 347 pages
Book Rating : 4.8/5 (218 download)

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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.

Analytical Properties of Nonlinear Partial Differential Equations

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Publisher : Springer Nature
ISBN 13 : 3031530748
Total Pages : 322 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Analytical Properties of Nonlinear Partial Differential Equations by : Alexei Cheviakov

Download or read book Analytical Properties of Nonlinear Partial Differential Equations written by Alexei Cheviakov and published by Springer Nature. This book was released on with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory and Applications of Ocean Surface Waves: Nonlinear aspects

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Author :
Publisher : World Scientific
ISBN 13 : 9812561587
Total Pages : 595 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Theory and Applications of Ocean Surface Waves: Nonlinear aspects by : Chiang C. Mei

Download or read book Theory and Applications of Ocean Surface Waves: Nonlinear aspects written by Chiang C. Mei and published by World Scientific. This book was released on 2005 with total page 595 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 edition, two chapters on recent developments have been added: one is on multiple scattering by periodic or random bathymetry, and the other is on Zakharov's theory of broad spectrum wave fields. New sections include topics on 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.

Waves in Flows

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Publisher : Springer Nature
ISBN 13 : 3030678458
Total Pages : 362 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Waves in Flows by : Tomáš Bodnár

Download or read book Waves in Flows written by Tomáš Bodnár and published by Springer Nature. This book was released on 2021-04-29 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers an overview of the area of waves in fluids and the role they play in the mathematical analysis and numerical simulation of fluid flows. Based on lectures given at the summer school “Waves in Flows”, held in Prague from August 27-31, 2018, chapters are written by renowned experts in their respective fields. Featuring an accessible and flexible presentation, readers will be motivated to broaden their perspectives on the interconnectedness of mathematics and physics. A wide range of topics are presented, working from mathematical modelling to environmental, biomedical, and industrial applications. Specific topics covered include: Equatorial wave–current interactions Water–wave problems Gravity wave propagation Flow–acoustic interactions Waves in Flows will appeal to graduate students and researchers in both mathematics and physics. Because of the applications presented, it will also be of interest to engineers working on environmental and industrial issues.

Elliptic and Parabolic Equations

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Publisher : Springer
ISBN 13 : 3319125478
Total Pages : 295 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Elliptic and Parabolic Equations by : Joachim Escher

Download or read book Elliptic and Parabolic Equations written by Joachim Escher and published by Springer. This book was released on 2015-06-04 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: The international workshop on which this proceedings volume is based on brought together leading researchers in the field of elliptic and parabolic equations. Particular emphasis was put on the interaction between well-established scientists and emerging young mathematicians, as well as on exploring new connections between pure and applied mathematics. The volume contains material derived after the workshop taking up the impetus to continue collaboration and to incorporate additional new results and insights.

Proceedings of the Conference on Water Waves: Theory and Experiment, Howard University, USA, 13-18 May 2008

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Author :
Publisher : World Scientific
ISBN 13 : 9814304247
Total Pages : 214 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Proceedings of the Conference on Water Waves: Theory and Experiment, Howard University, USA, 13-18 May 2008 by : M. F. Mahmood

Download or read book Proceedings of the Conference on Water Waves: Theory and Experiment, Howard University, USA, 13-18 May 2008 written by M. F. Mahmood and published by World Scientific. This book was released on 2010 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to introduce new researchers to the rich dynamical system of water waves, and to show how (some) abstract mathematical concepts can be applied fruitfully in a practical physical problem and to make the connection between theory and experiment. It provides a coherent set of lectures on the current status of water wave theory, including identification of some open problems.

Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem

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Author :
Publisher : SIAM
ISBN 13 : 1611973775
Total Pages : 473 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem by : Roland Glowinski

Download or read book Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem written by Roland Glowinski and published by SIAM. This book was released on 2015-11-04 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics. This book differs from others on the topic by presenting examples of the power and versatility of operator-splitting methods; providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly nonsmooth) problems from science and engineering; and showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems. The book provides useful insights suitable for advanced graduate students, faculty, and researchers in applied and computational mathematics as well as research engineers, mathematical physicists, and systems engineers.