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: Onorato Название: Rogue and Shock Waves in Nonlinear Dispersive Media ISBN: 3319392123 ISBN-13(EAN): 9783319392127 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: 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 Рейтинг: Цена: 21384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: John Grue; Bj?rn Gjevik; Jan Erik Weber Название: Waves and Nonlinear Processes in Hydrodynamics ISBN: 9401065977 ISBN-13(EAN): 9789401065979 Издательство: Springer Рейтинг: Цена: 18284.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The topics of the symposium were chosen to cover Enok`s broad range of scientific work, interests and accomplishments: Marine hydrodynamics, nonlinear wave theory, nonlinear stability, thermal convection and geophys- ical fluid dynamics, starting with Enok`s present activity, ending with the field where he began his career.
Автор: Elena Tobisch Название: New Approaches to Nonlinear Waves ISBN: 3319206893 ISBN-13(EAN): 9783319206899 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Introduction (E. Tobisch).- Brief historical overview.- Main notions.- Resonant interactions.- Modulation instability.- Frameworks.- Reality check.- References.- The effective equation method (Sergei Kuksin and Alberto Maiocchi).- Introduction.- How to construct the effective equation.- Structure of resonances.- CHM: resonance clustering.- Concluding remarks.- References.- On the discovery of the steady-state resonant water waves (Shijun Liao, Dali Xu and Zeng Liu).- Introduction.- Basic ideas of homotopy analysis method.- Steady-state resonant waves in constant-depth water.- Experimental observation.- Concluding remarks.- References.- Modulational instability in equations of KdV type (Jared C. Bronski, Vera Mikyoung Hur and Mathew A. Johnson).- Introduction.- Periodic traveling waves of generalized KdV equations.- Formal asymptotics and Whitham's modulation theory.- Rigorous theory of modulational instability.- Applications.- Concluding remarks.- References.- Modulational instability and rogue waves in shallow water models (R. Grimshaw, K. W. Chow and H. N. Chan).- Introduction.- Korteweg-de Vries equations.- Boussinesq model.- Hirota-Satsuma model.- Discussion.- References.- Hamiltonian framework for short optical pulses (Shalva Amiranashvili).- Introduction.- Poisson brackets.- Pulses in optical fibers.- Hamiltonian description of pulses.- Concluding remarks.- References.- Modeling water waves beyond perturbations (Didier Clamond and Denys Dutykh).- Introduction.- Preliminaries.- Variational formulations.- Examples.- Discussion.- References.- Quantitative Analysis of Nonlinear Water-Waves: a Perspective of an Experimentalist (Lev Shemer).- Introduction.- The experimental facilities.- The Nonlinear Schrцdinger Equation.- The Modified Nonlinear Schrцdinger (Dysthe) Equation.- The Spatial Zakharov Equation.- Statistics of nonlinear unidirectional water waves.- Discussion and Conclusions.- References.
Автор: Kolumban Hutter Название: Nonlinear Internal Waves in Lakes ISBN: 3642440061 ISBN-13(EAN): 9783642440069 Издательство: Springer Рейтинг: Цена: 20896.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Internal wave dynamics in lakes (and oceans) is an important physical element in the geophysical fluid mechanics of the world`s `quiescent` water bodies. This volume examines the issue through cutting-edge nonlinear internal dynamics and field case studies.
Автор: Andrei Ludu Название: Nonlinear Waves and Solitons on Contours and Closed Surfaces ISBN: 3642440517 ISBN-13(EAN): 9783642440519 Издательство: Springer Рейтинг: Цена: 14365.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Extensively revised, expanded and updated for the new edition, this book offers a comprehensive introduction to nonlinear waves and soliton theory in the special environment of compact spaces such as closed curves and surfaces and other domain contours.
Автор: H.-C. Chang Название: IUTAM Symposium on Nonlinear Waves in Multi-Phase Flow ISBN: 0792364546 ISBN-13(EAN): 9780792364542 Издательство: Springer Рейтинг: Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The active field of multi-phase flow has undergone fundamental changes in the last decade. Topics covered include solitary wave dynamics on viscous film flows, sheet formation and drop entrainment in stratified flow, wetting and dewetting dynamics, self-similar drop formation dynamics, waves in bubbly and suspension flow, and bubble dynamics.
Автор: A. Jeffrey; J. Engelbrecht Название: Nonlinear Waves in Solids ISBN: 3211825584 ISBN-13(EAN): 9783211825587 Издательство: Springer Рейтинг: Цена: 16979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These lectures offer a thorough account of the fundamental theory of nonlinear deformation waves, and, in the process, offer an up-to-date account of the current state of research in the theory and practice of nonlinear waves in solids.
Автор: Fatkhulla Abdullaev; Vladimir V. Konotop Название: Nonlinear Waves: Classical and Quantum Aspects ISBN: 1402021895 ISBN-13(EAN): 9781402021893 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Discusses the physical and experimental results in the physics of Bose-Einstein condensate theory, the theory of nonlinear lattices, and nonlinear optics and photonics. This work considers classical and quantum aspects of the dynamics of nonlinear waves. It focuses on the Gross-Pitaevskii equation and on the quantum nonlinear Schrodinger equation.
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