Nonlinear Water Waves With Applications To Wave Current Interactions And Tsunamis

Author : Adrian Constantin
Publisher : SIAM
Page : 333 pages
File Size : 48,7 Mb
Release : 2011-01-01
Category : Mathematics
ISBN : 161197187X

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Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis by Adrian Constantin Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 40,6 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9789814469395

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Advances in Numerical Simulation of Nonlinear Water Waves by Anonim Pdf

Author : David Henry,Konstantinos Kalimeris,Emilian I. Părău,Jean-Marc Vanden-Broeck,Erik Wahlén
Publisher : Springer Nature
Page : 218 pages
File Size : 48,9 Mb
Release : 2019-11-27
Category : Mathematics
ISBN : 9783030335366

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Nonlinear Water Waves by David Henry,Konstantinos Kalimeris,Emilian I. Părău,Jean-Marc Vanden-Broeck,Erik Wahlén Pdf

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.

Author : Efim Pelinovsky,Christian Kharif
Publisher : Springer
Page : 236 pages
File Size : 43,5 Mb
Release : 2015-09-02
Category : Science
ISBN : 9783319215754

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Extreme Ocean Waves by Efim Pelinovsky,Christian Kharif Pdf

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.

Author : Bernard Le Mehaute,Shen Wang
Publisher : World Scientific
Page : 398 pages
File Size : 45,8 Mb
Release : 1996
Category : Science
ISBN : 9810220839

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Water Waves Generated by Underwater Explosion by Bernard Le Mehaute,Shen Wang Pdf

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.

Author : Anjan Kundu
Publisher : Springer Science & Business Media
Page : 319 pages
File Size : 53,9 Mb
Release : 2007-06-19
Category : Science
ISBN : 9783540712565

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Tsunami and Nonlinear Waves by Anjan Kundu Pdf

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.

Author : Victor Raizer
Publisher : CRC Press
Page : 310 pages
File Size : 49,7 Mb
Release : 2019-03-04
Category : Technology & Engineering
ISBN : 9781351119160

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Optical Remote Sensing of Ocean Hydrodynamics by Victor Raizer Pdf

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.

Author : David Lannes
Publisher : American Mathematical Soc.
Page : 347 pages
File Size : 50,5 Mb
Release : 2013-05-08
Category : Mathematics
ISBN : 9780821894705

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The Water Waves Problem by David Lannes Pdf

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.

Author : Alexei Cheviakov
Publisher : Springer Nature
Page : 322 pages
File Size : 44,5 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9783031530746

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Analytical Properties of Nonlinear Partial Differential Equations by Alexei Cheviakov Pdf

Author : Guido Schneider,Hannes Uecker
Publisher : American Mathematical Soc.
Page : 575 pages
File Size : 52,7 Mb
Release : 2017-10-26
Category : Differential equations, Nonlinear
ISBN : 9781470436131

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Nonlinear PDEs: A Dynamical Systems Approach by Guido Schneider,Hannes Uecker Pdf

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.

Author : Chiang C. Mei,Michael Stiassnie,Dick K.-P. Yue
Publisher : World Scientific
Page : 595 pages
File Size : 46,8 Mb
Release : 2005
Category : Nonlinear waves
ISBN : 9789812561589

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Theory and Applications of Ocean Surface Waves: Nonlinear aspects by Chiang C. Mei,Michael Stiassnie,Dick K.-P. Yue Pdf

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.

Author : Joachim Escher,Elmar Schrohe,Jörg Seiler,Christoph Walker
Publisher : Springer
Page : 291 pages
File Size : 49,6 Mb
Release : 2015-06-04
Category : Mathematics
ISBN : 9783319125473

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Elliptic and Parabolic Equations by Joachim Escher,Elmar Schrohe,Jörg Seiler,Christoph Walker Pdf

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.

Author : Roland Glowinski
Publisher : SIAM
Page : 473 pages
File Size : 46,8 Mb
Release : 2015-11-04
Category : Mathematics
ISBN : 9781611973778

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Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem by Roland Glowinski Pdf

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.

Author : Yuji Kodama
Publisher : SIAM
Page : 267 pages
File Size : 46,7 Mb
Release : 2018-12-10
Category : Science
ISBN : 9781611975512

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Solitons in Two-Dimensional Shallow Water by Yuji Kodama Pdf

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.

Author : John Grue,Karsten Trulsen
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 40,5 Mb
Release : 2007-08-03
Category : Technology & Engineering
ISBN : 9783211693568

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Waves in Geophysical Fluids by John Grue,Karsten Trulsen Pdf

This book describes the forecasting and risk evaluation of tsunamis by tectonic motion, land slides, explosions, run-up, and maps the tsunami sources in the world's oceans. It presents stochastic Monte-Carlo simulations and focusing mechanisms for rogue waves, nonlinear wave models, breather formulas, and the kinematics of the Draupner wave. Coverage also reveals the full story about the discovery of the very large oceanic internal waves.