Nonlinear Water Waves, Constantin

Автор: Onorato
Название: Rogue and Shock Waves in Nonlinear Dispersive Media
ISBN: 3319392123 ISBN-13(EAN): 9783319392127
Издательство: Springer
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Цена: 9781.00 р.
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Описание: This self-contained set of lectures addresses a gap in the literature by providing a systematic link between the theoretical foundations of the subject matter and cutting-edge applications in both geophysical fluid dynamics and nonlinear optics.Rogue and shock waves are phenomena that may occur in the propagation of waves in any nonlinear dispersive medium. Accordingly, they have been observed in disparate settings – as ocean waves, in nonlinear optics, in Bose-Einstein condensates, and in plasmas. Rogue and dispersive shock waves are both characterized by the development of extremes: for the former, the wave amplitude becomes unusually large, while for the latter, gradients reach extreme values. Both aspects strongly influence the statistical properties of the wave propagation and are thus considered together here in terms of their underlying theoretical treatment.This book offers a self-contained graduate-level text intended as both an introduction and reference guide for a new generation of scientists working on rogue and shock wave phenomena across a broad range of fields in applied physics and geophysics.

Автор: G. Marinoschi
Название: Functional Approach to Nonlinear Models of Water Flow in Soils
ISBN: 9048172160 ISBN-13(EAN): 9789048172160
Издательство: Springer
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Цена: 12157.00 р.
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Описание: This work of applied mathematics focuses on the functional study of the nonlinear boundary value problems relating to water flow in porous media, a topic which has not up to now been explored in book form. The volume deals with diffusion type models, emphasizing the mathematical treatment of their nonlinear aspects.

Автор: Seymour Brian R Et Al
Название: Nonlinear Waves In Bounded Media: The Mathematics Of Resonance
ISBN: 9813100338 ISBN-13(EAN): 9789813100336
Издательство: World Scientific Publishing
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Цена: 21384.00 р.
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Описание: This unique book aims to treat a class of nonlinear waves that are reflected from the boundaries of media of finite extent. It involves both standing (unforced) waves and resonant oscillations due to external periodic forcing. The waves are both hyperbolic and dispersive. To achieve this aim, the book develops the necessary understanding of linear waves and the mathematical techniques of nonlinear waves before dealing with nonlinear waves in bounded media. The examples used come mainly from gas dynamics, water waves and viscoelastic waves.