Asymptotic Analysis For Nonlinear Dispersive And Wave Equations - Proceedings Of The International Conference, 

Автор: Peter D. Miller; Peter A. Perry; Jean-Claude Saut;
Название: Nonlinear Dispersive Partial Differential Equations and Inverse Scattering
ISBN: 1493998056 ISBN-13(EAN): 9781493998050
Издательство: Springer
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Цена: 93160.00 T
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Описание: This volume contains lectures and invited papers from the Focus Program on 'Nonlinear Dispersive Partial Differential Equations and Inverse Scattering' held at the Fields Institute from July 31-August 18, 2017. The conference brought together researchers in completely integrable systems and PDE with the goal of advancing the understanding of qualitative and long-time behavior in dispersive nonlinear equations. The program included Percy Deift’s Coxeter lectures, which appear in this volume together with tutorial lectures given during the first week of the focus program. The research papers collected here include new results on the focusing ?nonlinear Schr?dinger (NLS) equation, the massive Thirring model, and the Benjamin-Bona-Mahoney equation as dispersive PDE in one space dimension, as well as the Kadomtsev-Petviashvili II equation, the Zakharov-Kuznetsov equation, and the Gross-Pitaevskii equation as dispersive PDE in two space dimensions.The Focus Program coincided with the fiftieth anniversary of the discovery by Gardner, Greene, Kruskal and Miura that the Korteweg-de Vries (KdV) equation could be integrated by exploiting a remarkable connection between KdV and the spectral theory of Schrodinger's equation in one space dimension. This led to the discovery of a number of completely integrable models of dispersive wave propagation, including the cubic NLS equation, and the derivative NLS equation in one space dimension and the Davey-Stewartson, Kadomtsev-Petviashvili and Novikov-Veselov equations in two space dimensions. These models have been extensively studied and, in some cases, the inverse scattering theory has been put on rigorous footing. It has been used as a powerful analytical tool to study global well-posedness and elucidate asymptotic behavior of the solutions, including dispersion, soliton resolution, and semiclassical limits.

Автор: Koch, Herbert Tataru, Daniel Visan, Monica
Название: Dispersive equations and nonlinear waves
ISBN: 303480735X ISBN-13(EAN): 9783034807357
Издательство: Springer
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Цена: 37260.00 T
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Описание: Dispersive Equations and Nonlinear Waves

Автор: Linares, Felipe Ponce, Gustavo
Название: Introduction to nonlinear dispersive equations
ISBN: 1493921800 ISBN-13(EAN): 9781493921805
Издательство: Springer
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Цена: 55890.00 T
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Описание: Introduction to Nonlinear Dispersive Equations

Автор: Shijun Zheng, Marius Beceanu, Jerry Bona, Geng Chen, Tuoc Van Phan
Название: Nonlinear Dispersive Waves and Fluids
ISBN: 1470441098 ISBN-13(EAN): 9781470441098
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
Наличие на складе: Нет в наличии.
Описание: This volume contains the proceedings of the AMS Special Session on Spectral Calculus and Quasilinear Partial Differential Equations and the AMS Special Session on PDE Analysis on Fluid Flows, which were held in January 2017 in Atlanta, Georgia. These two sessions shared the underlying theme of the analysis aspect of evolutionary PDEs and mathematical physics.The articles address the latest trends and perspectives in the area of nonlinear dispersive equations and fluid flows. The topics mainly focus on using state-of-the-art methods and techniques to investigate problems of depth and richness arising in quantum mechanics, general relativity, and fluid dynamics.

Автор: Roscoe White
Название: Asymptotic Analysis of Differential Equations (Revised)
ISBN: 1848166079 ISBN-13(EAN): 9781848166073
Издательство: World Scientific Publishing
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Цена: 107530.00 T
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Описание: Offers the practical means of finding asymptotic solutions to differential equations, and relates WKB methods, integral solutions, Kruskal-Newton diagrams, and boundary layer theory. This book focuses on the techniques of analysis: obtaining asymptotic limits, connecting different asymptotic solutions, and obtaining integral representation.

Автор: Erdo?an
Название: Dispersive Partial Differential Equations
ISBN: 1107149045 ISBN-13(EAN): 9781107149045
Издательство: Cambridge Academ
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Цена: 73920.00 T
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Описание: Provides a self-contained and accessible introduction to nonlinear dispersive partial differential equations (PDEs) for graduate or advanced undergraduate students in mathematics, engineering, and physical sciences. The book can be used for self-study, or for teaching a semester-long introductory graduate course in PDEs.

Автор: Ben Abdallah Naoufel; Anton Arnold; Pierre Degond;
Название: Dispersive Transport Equations and Multiscale Models
ISBN: 1461264731 ISBN-13(EAN): 9781461264736
Издательство: Springer
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Цена: 46570.00 T
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Описание: IMA Volumes 135: Transport in Transition Regimes and 136: Dispersive Transport Equations and Multiscale Models focus on the modeling of processes for which transport is one of the most complicated components.

Автор: Daniel B. Dix
Название: Large-Time Behavior of Solutions of Linear Dispersive Equations
ISBN: 3540634347 ISBN-13(EAN): 9783540634348
Издательство: Springer
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Цена: 41920.00 T
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Описание: This text is aimed at researchers and graduate students in the fields of differential, difference and integral equations. It explores the large-time behaviour of solutions of linear dispersive equations, looking at Laplace expansions, uniformly valid expansions for large-time and applications.

Название: Global Solutions And The Asymptotic Behavior For Nonlinear Wave Equations With Small Initial Data
ISBN: 4864970548 ISBN-13(EAN): 9784864970549
Издательство: World Scientific Publishing
Цена: 44350.00 T
Наличие на складе: Невозможна поставка.
Описание: In the study of the Cauchy problem for nonlinear wave equations with small initial data, the case where the nonlinearity has the critical power is of special interest. In this case, depending on the structure of the nonlinearity, one may observe global existence and finite time blow-up of solutions. In 80's, Klainerman introduced a sufficient condition, called the null condition, for the small data global existence in the critical case. Recently, weaker sufficient conditions are also studied.This volume offers a comprehensive survey of the theory of nonlinear wave equations, including the classical local existence theorem, the global existence in the supercritical case, the finite time blow-up and the lifespan estimate in the critical case, and the global existence under the null condition in two and three space dimensions. The main tool here is the so-called vector field method. This volume also contains recent progress in the small data global existence under some conditions weaker than the null condition, and it is shown that a wide variety of the asymptotic behavior is observed under such weaker conditions.This volume is written not only for researchers, but also for graduate students who are interested in nonlinear wave equations. The exposition is intended to be self-contained and a complete proof is given for each theorem.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

Автор: Valery V. Kozlov; Stanislav D. Furta; Lester Senec
Название: Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations
ISBN: 3642432409 ISBN-13(EAN): 9783642432408
Издательство: Springer
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Цена: 111790.00 T
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Описание: With a pedagogic format ideal for graduate students, this text includes a wealth of examples focusing on solutions in dynamical systems theory that mirror those used in Lyapunov`s first method, tackling ordinary differential equations expressed as series form.