Author: Grard Iooss
Publisher: American Mathematical Soc.
ISBN: 0821843826
Category : Science
Languages : en
Pages : 144
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Book Description
The authors consider doubly-periodic travelling waves at the surface of an infinitely deep perfect fluid, only subjected to gravity $g$ and resulting from the nonlinear interaction of two simply periodic travelling waves making an angle $2\theta$ between them. Denoting by $\mu =gL/c^{2}$ the dimensionless bifurcation parameter ( $L$ is the wave length along the direction of the travelling wave and $c$ is the velocity of the wave), bifurcation occurs for $\mu = \cos \theta$. For non-resonant cases, we first give a large family of formal three-dimensional gravity travelling waves, in the form of an expansion in powers of the amplitudes of two basic travelling waves. ``Diamond waves'' are a particular case of such waves, when they are symmetric with respect to the direction of propagation. The main object of the paper is the proof of existence of such symmetric waves having the above mentioned asymptotic expansion. Due to the occurence of small divisors, the main difficulty is the inversion of the linearized operator at a non trivial point, for applying the Nash Moser theorem. This operator is the sum of a second order differentiation along a certain direction, and an integro-differential operator of first order, both depending periodically of coordinates. It is shown that for almost all angles $\theta$, the 3-dimensional travelling waves bifurcate for a set of ``good'' values of the bifurcation parameter having asymptotically a full measure near the bifurcation curve in the parameter plane $(\theta,\mu ).$
Author: Clark Little
Publisher: Ten Speed Press
ISBN: 1984859781
Category : Photography
Languages : en
Pages : 241
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Book Description
Instagram sensation Clark Little shares his most remarkable photographs from inside the breaking wave, with a foreword by world surfing champion Kelly Slater. “One of the world’s most amazing water photographers . . . Now we get to experience up-close these moments of bliss.”—Jack Johnson, musician and environmentalist Surfer and photographer Clark Little creates deceptively peaceful pictures of waves by placing himself under the deadly lip as it is about to hit the sand. "Clark's view" is a rare and dangerous perspective of waves from the inside out. Thanks to his uncanny ability to get the perfect shot--and live to share it--Little has garnered a devout audience, been the subject of award-winning documentaries, and become one of the world's most recognizable wave photographers. Clark Little: The Art of Waves compiles over 150 of his images, including crystalline breaking waves, the diverse marine life of Hawaii, and mind-blowing aerial photography. This collection features his most beloved pictures, as well as work that has never been published in book form, with Little's stories and insights throughout. Journalist Jamie Brisick contributes essays on how Clark gets the shot, how waves are created, swimming with sharks, and more. With a foreword by eleven-time world surfing champion Kelly Slater and an afterword by the author on his photographic practice and technique, Clark Little: The Art of Waves offers a rare view of the wave for us to enjoy from the safety of land.
Author: Daniel D. Stancil
Publisher: Springer Science & Business Media
ISBN: 0387778659
Category : Technology & Engineering
Languages : en
Pages : 348
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Book Description
This book begins by introducing magnetism and discusses magnetic properties of materials, magnetic moments of atoms and ions, and the elements important to magnetism. It covers magnetic susceptibilities and electromagnetic waves in anisotropic dispersive media among other topics. There are problems at the end of each chapter, many of which serve to expand or explain the material in the text. The bibliographies for each chapter give an entry to the research literature.
Author: Konstantinos Kontis
Publisher: Springer Science & Business Media
ISBN: 3642256856
Category : Science
Languages : en
Pages : 1122
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Book Description
The University of Manchester hosted the 28th International Symposium on Shock Waves between 17 and 22 July 2011. The International Symposium on Shock Waves first took place in 1957 in Boston and has since become an internationally acclaimed series of meetings for the wider Shock Wave Community. The ISSW28 focused on the following areas: Blast Waves, Chemically Reacting Flows, Dense Gases and Rarefied Flows, Detonation and Combustion, Diagnostics, Facilities, Flow Visualisation, Hypersonic Flow, Ignition, Impact and Compaction, Multiphase Flow, Nozzle Flow, Numerical Methods, Propulsion, Richtmyer-Meshkov, Shockwave Boundary Layer Interaction, Shock Propagation and Reflection, Shock Vortex Interaction, Shockwave Phenomena and Applications, as well as Medical and Biological Applications. The two Volumes contain the papers presented at the symposium and serve as a reference for the participants of the ISSW 28 and individuals interested in these fields.
Author: Zhongqing Su
Publisher: Springer Science & Business Media
ISBN: 1848827849
Category : Technology & Engineering
Languages : en
Pages : 355
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Book Description
Lamb waves are guided waves that propagate in thin plate or shell structures. There has been a clear increase of interest in using Lamb waves for identifying structural damage, entailing intensive research and development in this field over the past two decades. Now on the verge of maturity for diverse engineering applications, this emerging technique serves as an encouraging candidate for facilitating continuous and automated surveillance of the integrity of engineering structures in a cost-effective manner. In comparison with conventional nondestructive evaluation techniques such as ultrasonic scanning and radiography which have been well developed over half a century, damage identification using Lamb waves is in a stage of burgeoning development, presenting a number of technical challenges in application that need to be addressed and circumvented. It is these two aspects that have encouraged us to write this book, with the intention of consolidating the knowledge and know-how in the field of Lamb-wave-based damage identification, and of promoting widespread attention to mature application of this technique in the practical engineering sphere. This book provides a comprehensive description of key facets of damage identification technique using Lamb waves, based on the authors’ knowledge, comprehension and experience, ranging from fundamental theory through case studies to engineering applications.
Author: Jim Kempton
Publisher: Simon and Schuster
ISBN: 1643137255
Category : Sports & Recreation
Languages : en
Pages : 304
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Book Description
A captivating look at two centuries of surfing—"the Sport of Queens"—from Native Hawaiian royalty to the breakout style and jaw-dropping feats on the waves today. Few subjects in the world of sports and or the outdoors is more timely or compelling than women’s surfing. From smart, strong, fearless women shattering records on 80-foot waves to professional athletes fighting for equal pay and a more fair and just playing field, these amazing, wave-riding warriors provide an inspirational and aspirational cast of powerful role models for women (and men) across all backgrounds and generations. Over the past two-hundred years, and especially the past five decades, the surfing lifestyle have become the envy of people around the world. The perception of sun, sand, surf, strong young women and their inimitable style, has created a booming lifestyle and sports industry—and the sport that is set to make it’s Olympic exhibition debut in Tokyo 2021. A massive shift from when colonizers tried to extinguish all traces of Native Hawaiian surfing and its sacred culture. What is it about the surfing that intrigues people of all ages, from all corners of the world? The beaches and idyllic locations? The unique style and mystique that surfers project? These women, on the beach and riding giant waves, or in the media, have made their mark on not just their sport, but our wider culture. Women on Waves is filled with phenomenal athletic performance, breakthrough female achievements, and plenty of inspiration and fun to see us through until the time when we can all hit the surf once more! Spanning a millennia, From Hawaii to Malibu, New York to Australia, South Africa to the South Pacific and beyond, Jim Kempton presents a fascinating new narrative that will captivate anyone who loves sports and the outdoors.
Author: Christian Kharif
Publisher: Springer Science & Business Media
ISBN: 354088419X
Category : Science
Languages : en
Pages : 222
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Book Description
“It came from nowhere, snapping giant ships in two. No one believed the survivors . . . until now” —New Scientist magazine cover, June 30, 2001 Rogue waves are the focus of this book. They are among the waves naturally - served by people on the sea surface that represent an inseparable feature of the Ocean. Rogue waves appear from nowhere, cause danger, and disappear at once. They may occur on the surface of a relatively calm sea and not reach very high amplitudes, but still be fatal for ships and crew due to their unexpectedness and abnormal features. Seamen are known to be unsurpassed authors of exciting and horrifying stories about the sea and sea waves. This could explain why, despite the increasing number of documented cases, that sailors’ observations of “walls of - ter” have been considered ctitious for a while. These stories are now addressed again due to the amount of doubtless evidence of the existence of the phenomenon, but still without suf cient information to - able interested researchers and engineers to completely understand it. The billows appear suddenly, exceeding the surrounding waves by two times their size and more, and obtaining many names: abnormal, exceptional, extreme, giant, huge, s- den, episodic, freak, monster, rogue, vicious, killer, mad- or rabid-dog waves, cape rollers, holes in the sea, walls of water, three sisters, etc.
Author: Leo H. Holthuijsen
Publisher: Cambridge University Press
ISBN: 1139462520
Category : Science
Languages : en
Pages : 9
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Book Description
Waves in Oceanic and Coastal Waters describes the observation, analysis and prediction of wind-generated waves in the open ocean, in shelf seas, and in coastal regions with islands, channels, tidal flats and inlets, estuaries, fjords and lagoons. Most of this richly illustrated book is devoted to the physical aspects of waves. After introducing observation techniques for waves, both at sea and from space, the book defines the parameters that characterise waves. Using basic statistical and physical concepts, the author discusses the prediction of waves in oceanic and coastal waters, first in terms of generalised observations, and then in terms of the more theoretical framework of the spectral energy balance. He gives the results of established theories and also the direction in which research is developing. The book ends with a description of SWAN (Simulating Waves Nearshore), the preferred computer model of the engineering community for predicting waves in coastal waters.
Author: Alexander Babanin
Publisher: Cambridge University Press
ISBN: 1139502727
Category : Science
Languages : en
Pages : 479
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Book Description
Wave breaking represents one of the most interesting and challenging problems for fluid mechanics and physical oceanography. Over the last fifteen years our understanding has undergone a dramatic leap forward, and wave breaking has emerged as a process whose physics is clarified and quantified. Ocean wave breaking plays the primary role in the air-sea exchange of momentum, mass and heat, and it is of significant importance for ocean remote sensing, coastal and ocean engineering, navigation and other practical applications. This book outlines the state of the art in our understanding of wave breaking and presents the main outstanding problems. It is a valuable resource for anyone interested in this topic, including researchers, modellers, forecasters, engineers and graduate students in physical oceanography, meteorology and ocean engineering.
Author: Andreas Keiling
Publisher: John Wiley & Sons
ISBN: 1119055024
Category : Science
Languages : en
Pages : 528
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Book Description
Low-frequency waves in space plasmas have been studied for several decades, and our knowledge gain has been incremental with several paradigm-changing leaps forward. In our solar system, such waves occur in the ionospheres and magnetospheres of planets, and around our Moon. They occur in the solar wind, and more recently, they have been confirmed in the Sun’s atmosphere as well. The goal of wave research is to understand their generation, their propagation, and their interaction with the surrounding plasma. Low-frequency Waves in Space Plasmas presents a concise and authoritative up-to-date look on where wave research stands: What have we learned in the last decade? What are unanswered questions? While in the past waves in different astrophysical plasmas have been largely treated in separate books, the unique feature of this monograph is that it covers waves in many plasma regions, including: Waves in geospace, including ionosphere and magnetosphere Waves in planetary magnetospheres Waves at the Moon Waves in the solar wind Waves in the solar atmosphere Because of the breadth of topics covered, this volume should appeal to a broad community of space scientists and students, and it should also be of interest to astronomers/astrophysicists who are studying space plasmas beyond our Solar System.
