Jump in the Waves

Jump in the Waves PDF

Author: Jacqueline Piatigorsky

Publisher: St Martins Press

Published: 1988-01-01

Total Pages: 181

ISBN-13: 9780312018344

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The author, born into the famous Rothschild family, describes her lonely childhood and her attempts to earn respect for her accomplishments instead of her name

Hyperbolic Equations and Waves

Hyperbolic Equations and Waves PDF

Author: Marcel Froissart

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 403

ISBN-13: 3642870252

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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.

Supersonic Flow and Shock Waves

Supersonic Flow and Shock Waves PDF

Author: Richard Courant

Publisher: Springer Science & Business Media

Published: 1999-02-11

Total Pages: 488

ISBN-13: 9780387902326

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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.

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

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

Author: Edmund V. Laitone

Publisher:

Published: 1963

Total Pages: 118

ISBN-13:

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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).

Waves in Fluids

Waves in Fluids PDF

Author: Sir M. J. Lighthill

Publisher: Cambridge University Press

Published: 2001-11-15

Total Pages: 528

ISBN-13: 9780521010450

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A comprehensive textbook in which the author describes the science of waves in liquids and gases. Drawing on a subject of enormous extent and variety, he provides his readers with a thorough analysis of the most important and representative types of waves including sound waves, shock waves, waterwaves of all kinds, and the so-called internal waves (inside atmospheres and oceans) due to intensity stratification. Emphasis throughout is on the most generally useful fundamental ideas of wave science, including the principles of how waves interact with flows. This standard work on one of the great subdivisions of the dynamics of fluids is lucidly written and will be invaluable to engineers, physicists, geophysicists, applied mathematicians or any research worker concerned with wave motions or fluid fllows. It is especially suitable as a textbook for courses at the final year undergraduate or graduate level.

Handbook of Shock Waves, Three Volume Set

Handbook of Shock Waves, Three Volume Set PDF

Author: Gabi Ben-Dor

Publisher: Elsevier

Published: 2000-10-18

Total Pages: 2188

ISBN-13: 0080533728

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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

Waves in Neural Media

Waves in Neural Media PDF

Author: Paul C. Bressloff

Publisher: Springer Science & Business Media

Published: 2013-10-17

Total Pages: 448

ISBN-13: 1461488664

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​Waves in Neural Media: From Single Neurons to Neural Fields surveys mathematical models of traveling waves in the brain, ranging from intracellular waves in single neurons to waves of activity in large-scale brain networks. The work provides a pedagogical account of analytical methods for finding traveling wave solutions of the variety of nonlinear differential equations that arise in such models. These include regular and singular perturbation methods, weakly nonlinear analysis, Evans functions and wave stability, homogenization theory and averaging, and stochastic processes. Also covered in the text are exact methods of solution where applicable. Historically speaking, the propagation of action potentials has inspired new mathematics, particularly with regard to the PDE theory of waves in excitable media. More recently, continuum neural field models of large-scale brain networks have generated a new set of interesting mathematical questions with regard to the solution of nonlocal integro-differential equations. Advanced graduates, postdoctoral researchers and faculty working in mathematical biology, theoretical neuroscience, or applied nonlinear dynamics will find this book to be a valuable resource. The main prerequisites are an introductory graduate course on ordinary differential equations or partial differential equations, making this an accessible and unique contribution to the field of mathematical biology.

Shock Waves @ Marseille III

Shock Waves @ Marseille III PDF

Author: Raymond Brun

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 490

ISBN-13: 3642788351

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Recently, there have been significant advances in the fields of high-enthalpy hypersonic flows, high-temperature gas physics, and chemistry shock propagation in various media, industrial and medical applications of shock waves, and shock-tube technology. This series contains all the papers and lectures of the 19th International Symposium on Shock Waves held in Marseille in 1993. They are published in four topical volumes, each containing papers on related topics, and preceded by an overview wrtitten by a leading international expert. The volumes may be purchased independently.