Wave Propagation in Solids and Fluids

Name: Wave Propagation in Solids and Fluids
Brand: Springer-Verlag New York Inc.
SKU: 9781461283904
Price: 116.16 EUR
Availability: InStock

Автор: Julian L. Davis

Език:

Корици: С меки корици

Издател: Springer-Verlag New York Inc.

Наличност: Външен склад в ограничено количество

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The purpose of this volume is to present a clear and systematic account of the mathematical methods...

Информация за книгата

Автор

Julian L. Davis

Език

Английски език

Корици

Книга - С меки корици

Издадена

2011

страници

386

EAN

9781461283904

ISBN

1461283906

Enbook ID

06795643

Издател

Springer-Verlag New York Inc.

Теглоt

604

Размери

155 x 235 x 22

Пълно описание

The purpose of this volume is to present a clear and systematic account of the mathematical methods of wave phenomena in solids, gases, and water that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical techniques, and on showing how these mathematical concepts can be effective in unifying the physics of wave propagation in a variety of physical settings: sound and shock waves in gases, water waves, and stress waves in solids. Nonlinear effects and asymptotic phenomena will be discussed. Wave propagation in continuous media (solid, liquid, or gas) has as its foundation the three basic conservation laws of physics: conservation of mass, momentum, and energy, which will be described in various sections of the book in their proper physical setting. These conservation laws are expressed either in the Lagrangian or the Eulerian representation depending on whether the boundaries are relatively fixed or moving. In any case, these laws of physics allow us to derive the "field equations" which are expressed as systems of partial differential equations. For wave propagation phenomena these equations are said to be "hyperbolic" and, in general, nonlinear in the sense of being "quasi linear" . We therefore attempt to determine the properties of a system of "quasi linear hyperbolic" partial differential equations which will allow us to calculate the displacement, velocity fields, etc.

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