Hyperbolic Equations and Waves


Book Description

The success of the 1967 Battelle Rencontres was so much appre ciated by the participants and organizers of this experimental set-up that it was soon decided to go on with the experiment. Mathematicians and physicists had found a very suitable frame to overcome their natural shyness, to get occasionally interested into each others' work, to talk 1968 Rencontres have about it, and eventually to know each other. The been organized with the same idea in mind, and even somewhat enlarged in the following sense: the topic chosen - hyperbolic equations and waves - has proved a cornerstone of physics for more than a century and extends over most fields of contemporary physics. It follows immediately that the wide range of physicists concerned could not be represented by more than a couple of specialists in any single field. Thus, aside from bridging the gap between mathematicians and physicists, the 1968 Recontres provided a rather unique occasion to plug many intra disciplinary gaps among physicists. This made the Rencontres quite unpredictable as to how people would - and could - interact, and created a very stimulating environ ment for an unprecedented intellectual venture. From the outside, it may very well look like a hodge-podge of quite unrelated ideas. But it was much less so at the level of day-to-day discussions and informal gatherings where all slowly acquired a comprehensive synthetic view of the subject.




In the Waves


Book Description

Grab your ol' flip-flops and your sunblock, too, for this fun-in-the-sun story told to the tune of the debut original song by Lennon and Maisy Stella, stars of the hit ABC show Nashville. Head to www.harpercollinschildrens.com/inthewaves to listen and sing along as the girls gather their boogie boards and sip homemade lemonade. With a sweet surprise ending, this story will delight readers young and old, and with photos of the girls from years past, this picture book keepsake is the perfect present for any Lennon and Maisy fan.




Higher Approximation to Nonlinear Water Waves and the Limiting Heights of Cnoidal, Solitary, and Stokes' Waves


Book Description

To obtain the first and second approximations to solitary and cnoidal waves the shallow water expansion method of Friedrichs and Keller is carried out to the fourth order. It is shown that the rigorous first approximation to these amplitude waves of permanent form is identical to the solution first given by Korteweg and deVries in 1895. The second approximation however results in some new expressions for predicting the behavior of long waves in shallow water. Limiting amplitude is found to be 8/11 of the free water depth for the solitary wave. The third approximation to Stokes waves in water of finite depth is verified by the use of the classical small-perturbation expansion method. For finite amplitude waves the series expansion is found to be in terms of a parameter most suitable for wavelengths shorter than 8 times the depth. Rather severe restrictions inherent in the well-known analogy between the nonlinear shallow water flow and two-dimensional perfect gas flow are pointed out. (Author).







Supersonic Flow and Shock Waves


Book Description

Courant and Friedrich's classical treatise was first published in 1948 and tThe basic research for it took place during World War II. However, many aspects make the book just as interesting as a text and a reference today. It treats the dynamics of compressible fluids in mathematical form, and attempts to present a systematic theory of nonlinear wave propagation, particularly in relation to gas dynamics. Written in the form of an advanced textbook, it should appeal to engineers, physicists and mathematicians alike.




Reality and Waves


Book Description

Reality and Waves brings Philosophy into dialogue with Quantum Physics, offering a full-blown system Ellingsen calls the Philosophy of Waves. Quantum Physicists contend that reality is wave-like, and so the book helps us to see what the universe looks like when all its components are construed as being waves. Ellingsen makes the case for how Religion and Ethics have scientific validity. He teaches a Quantum Ethic for readers, a vision of life as joyful play in the waves of reality, but doing so with a commitment to fighting any wave which aims to divide us or increase entropy (unfocused, destructive energy). He also introduces us to a God who dwells in the “stuff” of matter, a God who binds the particles and atoms into matter. The result is a Philosophy of Religion offering fresh solutions to perennial questions about the relationship between freedom and destiny, about God's transcendence and immanence in the cosmos, and about God's relationship to evil. The philosophical system in this book will also teach you what Science and Philosophy have to do with everyday life.




Foundations of Stress Waves


Book Description

The primary objective of Foundations of Stress Waves is to give the reader an understanding of stress wave behaviour while taking into account the dynamic constitutive equations of elastic-plastic solids. The author has combined a 'materials characteristics' approach with a 'singularity surface' approach in this work, which readers will find to be a novel and unique route to solving their problems. - Helps engineers understand the effects and behavior of stress waves in various materials - Aids in the process of engineering design, testing, and evaluation




History of Shock Waves, Explosions and Impact


Book Description

This unique and encyclopedic reference work describes the evolution of the physics of modern shock wave and detonation from the earlier and classical percussion. The history of this complex process is first reviewed in a general survey. Subsequently, the subject is treated in more detail and the book is richly illustrated in the form of a picture gallery. This book is ideal for everyone professionally interested in shock wave phenomena.




Viscous Profiles and Numerical Methods for Shock Waves


Book Description

One strongly represented theme is the power of ideas from dynamical systems that are being adapted and developed in the context of shock waves.




Handbook of Shock Waves, Three Volume Set


Book Description

The Handbook of Shock Waves contains a comprehensive, structured coverage of research topics related to shock wave phenomena including shock waves in gases, liquids, solids, and space. Shock waves represent an extremely important physical phenomena which appears to be of special practical importance in three major fields: compressible flow (aerodynamics), materials science, and astrophysics. Shock waves comprise a phenomenon that occurs when pressure builds to force a reaction, i.e. sonic boom that occurs when a jet breaks the speed of sound.This Handbook contains experimental, theoretical, and numerical results which never before appeared under one cover; the first handbook of its kind.The Handbook of Shock Waves is intended for researchers and engineers active in shock wave related fields. Additionally, R&D establishments, applied science & research laboratories and scientific and engineering libraries both in universities and government institutions. As well as, undergraduate and graduate students in fluid mechanics, gas dynamics, and physics. Key Features* Ben-Dor is known as one of the founders of the field of shock waves* Covers a broad spectrum of shock wave research topics* Provides a comprehensive description of various shock wave related subjects* First handbook ever to include under one separate cover: experimental, theoretical, and numerical results