Introduction to nonlinear dispersive equations, Linares, Felipe Ponce, Gustavo
Автор: Erdo?an Название: Dispersive Partial Differential Equations ISBN: 1107149045 ISBN-13(EAN): 9781107149045 Издательство: Cambridge Academ Рейтинг: Цена: 11088.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: 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: Ben Abdallah Naoufel; Anton Arnold; Pierre Degond; Название: Dispersive Transport Equations and Multiscale Models ISBN: 1461264731 ISBN-13(EAN): 9781461264736 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Tatsien Li; Yi Zhou Название: Nonlinear Wave Equations ISBN: 3662557231 ISBN-13(EAN): 9783662557235 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer powers of nonlinear terms. Further, the book proposes the global iteration method, which offers a unified and straightforward approach for treating these kinds of problems.
Purely based on the properties of solutions to the corresponding linear problems, the method simply applies the contraction mapping principle.
Автор: Koch, Herbert Tataru, Daniel Visan, Monica Название: Dispersive equations and nonlinear waves ISBN: 303480735X ISBN-13(EAN): 9783034807357 Издательство: Springer Рейтинг: Цена: 5589.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Dispersive Equations and Nonlinear Waves
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.
Автор: Dret, Herve Le Название: Nonlinear elliptic partial differential equations ISBN: 3319783890 ISBN-13(EAN): 9783319783895 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations.After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations. Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.
Описание: This volume shows how to construct solutions of numerous nonlinear PDEs quickly and easily. The text discusses comparisons and relationships between the varying solutions, methods and approaches.
Автор: B.G. Konopelchenko Название: Introduction to Multidimensional Integrable Equations ISBN: 0306442205 ISBN-13(EAN): 9780306442209 Издательство: Springer Рейтинг: Цена: 20896.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The soliton represents one ofthe most important ofnonlinear phenomena in modern physics. It constitutes an essentially localizedentity with a set ofremarkable properties. Solitons are found in various areas of physics from gravitation and field theory, plasma physics, and nonlinear optics to solid state physics and hydrodynamics. Nonlinear equations which describe soliton phenomena are ubiquitous. Solitons and the equations which commonly describe them are also of great mathematical interest. Thus, the dis- covery in 1967and subsequent development ofthe inversescattering transform method that provides the mathematical structure underlying soliton theory constitutes one of the most important developments in modern theoretical physics. The inversescattering transform method is now established as a very powerful tool in the investigation of nonlinear partial differential equations. The inverse scattering transform method, since its discoverysome two decades ago, has been applied to a great variety of nonlinear equations which arise in diverse fields of physics. These include ordinary differential equations, partial differential equations, integrodifferential, and differential-difference equations. The inverse scattering trans- form method has allowed the investigation of these equations in a manner comparable to that of the Fourier method for linear equations.
Автор: Hendrix,m T Название: Introduction to nonlinear & global optim ISBN: 0387886699 ISBN-13(EAN): 9780387886695 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text provides a compelling introduction to global and nonlinear optimization, providing both students of mathematics and interdisciplinary sciences with a strong background to continue their studies in these fields. The book offers insights into relevant concepts through numerous useful numerical examples and exercises.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
