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Nonlinear Dispersive Equations: Inverse Scattering and PDE Methods, Klein Christian, Saut Jean-Claude


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Автор: Klein Christian, Saut Jean-Claude
Название:  Nonlinear Dispersive Equations: Inverse Scattering and PDE Methods
ISBN: 9783030914264
Издательство: Springer
Классификация:



ISBN-10: 3030914267
Обложка/Формат: Hardcover
Страницы: 602
Вес: 1.01 кг.
Дата издания: 06.04.2022
Серия: Applied mathematical sciences
Язык: English
Издание: 1st ed. 2022
Иллюстрации: 68 illustrations, color; 19 illustrations, black and white; xx, 580 p. 87 illus., 68 illus. in color.; 68 illustrations, color; 19 illustrations, blac
Размер: 23.39 x 15.60 x 3.33 cm
Читательская аудитория: Professional & vocational
Подзаголовок: Inverse scattering and pde methods
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Nonlinear Dispersive Equations are partial differential equations that naturally arise in physical settings where dispersion dominates dissipation, notably hydrodynamics, nonlinear optics, plasma physics and Bose–Einstein condensates. The topic has traditionally been approached in different ways, from the perspective of modeling of physical phenomena, to that of the theory of partial differential equations, or as part of the theory of integrable systems. This monograph offers a thorough introduction to the topic, uniting the modeling, PDE and integrable systems approaches for the first time in book form. The presentation focuses on three universal families of physically relevant equations endowed with a completely integrable member: the Benjamin–Ono, Davey–Stewartson, and Kadomtsev–Petviashvili equations. These asymptotic models are rigorously derived and qualitative properties such as soliton resolution are studied in detail in both integrable and non-integrable models. Numerical simulations are presented throughout to illustrate interesting phenomena. By presenting and comparing results from different fields, the book aims to stimulate scientific interactions and attract new students and researchers to the topic. To facilitate this, the chapters can be read largely independently of each other and the prerequisites have been limited to introductory courses in PDE theory.
Дополнительное описание: Acronyms.- Glossary.- 1 General Introduction.- 2 Generalities and Basic Facts.- 3 Benjamin–Ono and Intermediate Long Wave Equations: Modeling, IST and PDE.- 4 Davey–Stewartson and Related Systems.- 5 Kadomtsev–Petviashvili and Related Equations.- 6 Noviko



Introduction to nonlinear dispersive equations

Автор: Linares, Felipe Ponce, Gustavo
Название: Introduction to nonlinear dispersive equations
ISBN: 1493921800 ISBN-13(EAN): 9781493921805
Издательство: Springer
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Цена: 8384.00 р.
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Описание: Introduction to Nonlinear Dispersive Equations

Inverse scattering problems and their application to nonlinear integrable equations

Автор: Vu, Pham Loi
Название: Inverse scattering problems and their application to nonlinear integrable equations
ISBN: 0367334895 ISBN-13(EAN): 9780367334895
Издательство: Taylor&Francis
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Цена: 22968.00 р.
Наличие на складе: Нет в наличии.

Описание: El paquete Courseware consiste de dos publicaciones , VeriSM - Fundamentos Courseware y Fundamentos guia de estudio.Este material de entrenamiento cubre el plan de estudios para la calificacion VeriSM fundamentos. El entrenamiento puede ser entregado durante dos dias. Este Courseware esta acreditado para preparar al estudiante para la certificacion VeriSM. VeriSM Fundamentos consiste de dos partes: VeriSM Essentials y VeriSM Plus, cada uno cubriendo un dia de entrenamiento.Los estudiantes que ya tienen un certificado en Gestion de Servicios (TI) pueden beneficiarse del conocimiento que ya tienen. Son el publico objetivo para el entrenamiento VeriSM Plus unicamente. Cuando aprueben el examen VeriSM Plus, recibiran el certificado de VeriSM fundamentos. Proveedores de entrenamiento que quieran ofrecer un dia de capacitacion sobre principios de gestion de servicios podrian decidir ofrecer unicamente el entrenamiento de VeriSM Essentials. Los estudiantes que aprueben el examen VeriSM Essentials, recibiran el certificado de VeriSM Essentials. Si posteriormente ellos aprueban el examen VeriSM plus, recibiran automaticamente el certificado VeriSM Fundamentos.El courseware cubre los siguientes temas:¢ La organizacion del servicio (Essentials)¢ Cultura del servicio (Essentials)¢ Personas y cultura organizacional (Essentials)¢ El modelo VeriSM (Ambas)¢ Practicas progresivas (Plus)¢ Tecnologias innovadoras (Plus)VeriSM es un enfoque holistico y orientado a la empresa, que le ayuda a comprender el creciente panorama de las mejores practicas y como integrarlas para ofrecer valor al consumidor.Esto es una evolucion en el pensamiento de la Gestion de Servicios y ofrece un enfoque actualizado, incluyendo las ultimas practicas y desarrollos tecnologicos, para ayudar a las organizaciones a transformar su negocio en la nueva realidad de la era digital.VeriSM es un enfoque de Gestion de Servicios que esta Dirigido por el valor, Evolutivo, Responsivo (Adaptado) e Integrado VeriSM es una marca registrada y propiedad del IFDC, la Fundacion Internacional de Habilidades Digitales

Nonlinear Dispersive Partial Differential Equations and Inverse Scattering

Автор: Miller Peter D., Perry Peter A., Saut Jean-Claude
Название: Nonlinear Dispersive Partial Differential Equations and Inverse Scattering
ISBN: 1493998080 ISBN-13(EAN): 9781493998081
Издательство: Springer
Цена: 18167.00 р.
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Описание: Fifty years of KdV: an integrable system (P. Deift).- Wave turbulence and complete integrability (P. Gerard).- Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST, and PDE (J.-C. Saut).- Inverse scattering and global well-posedness in one and two dimensions (P. Perry).- Dispersive asymptotics for linear and integrable equations by the d-bar steepest descent method (M. Dieng, K. McLaughin, P. Miller).- Instability of solutions in the 2d Zakharov-Kuznetzov equation (L. Farah, J. Holmer, S. Roudenko).- On the nonexistence of local, gauge-invariant Birkhoff coordinates for focussing NLS equation (T. Kappeler, P. Topalov).- Extended decay properties for generalized BBM equation (C. Kwok, C. Munoz).- Ground state solutions of the complex Gross-Pitaevskii equation (T. Mizumachi).- Inverse scattering for the massive Thirring model (D. Pelinovsky, A. Saalman).- Anomolous (rogue) waves in nature, their recurrence, and the nonlinear Schrodinger model (P. Santini, P. Grinevich).

Nonlinear Dispersive Partial Differential Equations and Inverse Scattering

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: 13974.00 р.
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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.

Dispersive equations and nonlinear waves

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: 5589.00 р.
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Описание: Dispersive Equations and Nonlinear Waves

Qualitative Properties of Dispersive PDEs

Автор: Georgiev
Название: Qualitative Properties of Dispersive PDEs
ISBN: 9811964335 ISBN-13(EAN): 9789811964336
Издательство: Springer
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Цена: 25155.00 р.
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Описание: This book provides a valuable collection of contributions by distinguished scholars presenting the state of the art and some of the most significant latest developments and future challenges in the field of dispersive partial differential equations. The material covers four major lines: (1) Long time behaviour of NLS-type equations, (2) probabilistic and nonstandard methods in the study of NLS equation, (3) dispersive properties for heat-, Schr?dinger-, and Dirac-type flows, (4) wave and KdV-type equations. Across a variety of applications an amount of crucial mathematical tools are discussed, whose applicability and versatility goes beyond the specific models presented here. Furthermore, all contributions include updated and comparative literature.

Nonlinear Dispersive Waves and Fluids

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: 16302.00 р.
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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.

Large-Time Behavior of Solutions of Linear Dispersive Equations

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: 6288.00 р.
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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.

Dispersive Partial Differential Equations

Автор: Erdo?an
Название: Dispersive Partial Differential Equations
ISBN: 1107149045 ISBN-13(EAN): 9781107149045
Издательство: Cambridge Academ
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Цена: 11088.00 р.
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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.

Dispersive Transport Equations and Multiscale Models

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: 6986.00 р.
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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.

Dispersive Shallow Water Waves: Theory, Modeling, and Numerical Methods

Автор: Khakimzyanov Gayaz, Dutykh Denys, Fedotova Zinaida
Название: Dispersive Shallow Water Waves: Theory, Modeling, and Numerical Methods
ISBN: 3030462668 ISBN-13(EAN): 9783030462666
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves.

Electromagnetic and Optical Pulse Propagation: Volume 2: Temporal Pulse Dynamics in Dispersive Attenuative Media

Автор: Oughstun Kurt E.
Название: Electromagnetic and Optical Pulse Propagation: Volume 2: Temporal Pulse Dynamics in Dispersive Attenuative Media
ISBN: 3030206947 ISBN-13(EAN): 9783030206949
Издательство: Springer
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Цена: 15372.00 р.
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Описание: In two volumes, this book presents a detailed, systematic treatment of electromagnetics with application to the propagation of transient electromagnetic fields (including ultrawideband signals and ultrashort pulses) in dispersive attenuative media.


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