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Nonlinear Water Waves With Applications To Wave Current Interactions And Tsunamis
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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.
Book Synopsis Advances in Numerical Simulation of Nonlinear Water Waves by :
Download or read book Advances in Numerical Simulation of Nonlinear Water Waves written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Water Waves Generated by Underwater Explosion by : Bernard Le Mehaute
Download or read book Water Waves Generated by Underwater Explosion written by Bernard Le Mehaute and published by World Scientific. This book was released on 1996 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on explosion-generated water waves. It presents the theoretical foundations and experimental results of the generation and propagation of impulsively generated waves resulting from underwater explosions. Many of the theories and concepts presented herein are applicable to other types of water waves, in particular, tsunamis and waves generated by the fall of a meteorite. Linear and nonlinear theories, as well as experimental calibrations, are presented for cases of deep and shallow water explosions. Propagation of transient waves on dissipative, nonuniform bathymetries together with laboratory simulations are analyzed and discussed.
Book Synopsis Extreme Ocean Waves by : Efim Pelinovsky
Download or read book Extreme Ocean Waves written by Efim Pelinovsky and published by Springer. This book was released on 2015-09-02 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and updated second edition details the vast progress that has been achieved in the understanding of the physical mechanisms of rogue wave phenomenon in recent years. The selected articles address such issues as the formation of rogue waves due to modulational instability of nonlinear wave field, physical and statistical properties of extreme ocean wave generation in deep water as well as in shallow water, various models of nonlinear water waves, special analysis of nonlinear resonances between water waves and the relation between in situ observations, experimental data and rogue wave theories. In addition, recent results on tsunami waves due to subaerial landslides are presented. This book is written for specialists in the fields of fluid mechanics, applied mathematics, nonlinear physics, physical oceanography and geophysics, and for students learning these subjects.
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.
Book Synopsis Tsunami and Nonlinear Waves by : Anjan Kundu
Download or read book Tsunami and Nonlinear Waves written by Anjan Kundu and published by Springer Science & Business Media. This book was released on 2007-06-19 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The need for tsunami research and analysis has grown dramatically following the devastating tsunami of December 2004, which affected Southern Asia. This book pursues a detailed theoretical and mathematical analysis of the fundamentals of tsunamis, especially the evolution and dynamics of tsunamis and other great waves. Of course, it includes specific measurement results from the 2004 tsunami, but the emphasis is on the nature of the waves themselves and their links to nonlinear phenomena.
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 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:
Book Synopsis Nonlinear PDEs: A Dynamical Systems Approach by : Guido Schneider
Download or read book Nonlinear PDEs: A Dynamical Systems Approach written by Guido Schneider and published by American Mathematical Soc.. This book was released on 2017-10-26 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory textbook about nonlinear dynamics of PDEs, with a focus on problems over unbounded domains and modulation equations. The presentation is example-oriented, and new mathematical tools are developed step by step, giving insight into some important classes of nonlinear PDEs and nonlinear dynamics phenomena which may occur in PDEs. The book consists of four parts. Parts I and II are introductions to finite- and infinite-dimensional dynamics defined by ODEs and by PDEs over bounded domains, respectively, including the basics of bifurcation and attractor theory. Part III introduces PDEs on the real line, including the Korteweg-de Vries equation, the Nonlinear Schrödinger equation and the Ginzburg-Landau equation. These examples often occur as simplest possible models, namely as amplitude or modulation equations, for some real world phenomena such as nonlinear waves and pattern formation. Part IV explores in more detail the connections between such complicated physical systems and the reduced models. For many models, a mathematically rigorous justification by approximation results is given. The parts of the book are kept as self-contained as possible. The book is suitable for self-study, and there are various possibilities to build one- or two-semester courses from the book.
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 291 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.
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.
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.
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.
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.
Book Synopsis Solitons in Two-Dimensional Shallow Water by : Yuji Kodama
Download or read book Solitons in Two-Dimensional Shallow Water written by Yuji Kodama and published by SIAM. This book was released on 2018-12-10 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Web-like waves, often observed on the surface of shallow water, are examples of nonlinear waves. They are generated by nonlinear interactions among several obliquely propagating solitary waves, also known as solitons. In this book, modern mathematical tools?algebraic geometry, algebraic combinatorics, and representation theory, among others?are used to analyze these two-dimensional wave patterns. The author?s primary goal is to explain some details of the classification problem of the soliton solutions of the KP equation (or KP solitons) and their applications to shallow water waves. This book is intended for researchers and graduate students.
Book Synopsis A Primer on Radial Basis Functions with Applications to the Geosciences by : Bengt Fornberg
Download or read book A Primer on Radial Basis Functions with Applications to the Geosciences written by Bengt Fornberg and published by SIAM. This book was released on 2015-09-30 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: ?Adapted from a series of lectures given by the authors, this monograph focuses on radial basis functions (RBFs), a powerful numerical methodology for solving PDEs to high accuracy in any number of dimensions. This method applies to problems across a wide range of PDEs arising in fluid mechanics, wave motions, astro- and geosciences, mathematical biology, and other areas and has lately been shown to compete successfully against the very best previous approaches on some large benchmark problems. Using examples and heuristic explanations to create a practical and intuitive perspective, the authors address how, when, and why RBF-based methods work.? The authors trace the algorithmic evolution of RBFs, starting with brief introductions to finite difference (FD) and pseudospectral (PS) methods and following a logical progression to global RBFs and then to RBF-generated FD (RBF-FD) methods. The RBF-FD method, conceived in 2000, has proven to be a leading candidate for numerical simulations in an increasingly wide range of applications, including seismic exploration for oil and gas, weather and climate modeling, and electromagnetics, among others.? This is the first survey in book format of the RBF-FD methodology and is suitable as the text for a one-semester first-year graduate class.
