Dispersive Transport Equations and Multiscale Models, Ben Abdallah Naoufel; Anton Arnold; Pierre Degond;
Автор: Linares, Felipe Ponce, Gustavo Название: Introduction to nonlinear dispersive equations ISBN: 1493921800 ISBN-13(EAN): 9781493921805 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Introduction to Nonlinear Dispersive Equations
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: 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: 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
Автор: Xia Liang Название: Multiscale Structural Topology Optimization ISBN: 1785481002 ISBN-13(EAN): 9781785481000 Издательство: Elsevier Science Рейтинг: Цена: 11620.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Multiscale Structural Topology Optimization discusses the development of a multiscale design framework for topology optimization of multiscale nonlinear structures. With the intention to alleviate the heavy computational burden of the design framework, the authors present a POD-based adaptive surrogate model for the RVE solutions at the microscopic scale and make a step further towards the design of multiscale elastoviscoplastic structures. . Various optimization methods for structural size, shape, and topology designs have been developed and widely employed in engineering applications. Topology optimization has been recognized as one of the most effective tools for least weight and performance design, especially in aeronautics and aerospace engineering. . This book focuses on the simultaneous design of both macroscopic structure and microscopic materials. In this model, the material microstructures are optimized in response to the macroscopic solution, which results in the nonlinearity of the equilibrium problem of the interface of the two scales. The authors include a reduce database model from a set of numerical experiments in the space of effective strain.
Автор: Vasily Y. Belashov; Sergey V. Vladimirov Название: Solitary Waves in Dispersive Complex Media ISBN: 3642062407 ISBN-13(EAN): 9783642062407 Издательство: Springer Рейтинг: Цена: 26120.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: KdV-Class Solitons.- Generalized KdV Equations. NLS and DNLS Equations.- Classic Two- and Three-Dimensional KP Models and Their Applications.- Generalized Two- and Three-Dimensional Models and Their Applications.- Appendices.
Автор: Pavliotis Название: Multiscale Methods ISBN: 0387738282 ISBN-13(EAN): 9780387738284 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book is meant to be an introduction, aimed primarily towards graduate students. Part I of the book (theoretical foundations) and Part III of the book (proving theorems concerning simplified versions of the models that are studied in Part II) are necessarily terse and present the wide range of applications of the ideas, and illustrate their unity. The subject matter in these set of notes has, for the most part, been known for several decades. However, the particular presentation of the material here is particularly suited to the pedagogical goal of communicating the subject area to the wide range of mathematicians, scientists and engineers who are currently engaged in the use of these tools to tackle the enormous range of applications that require them.Extensions and generalizations of the results presented in these notes, as well as references to the literature, are given in the Discussion and Bibliography section, at the end of each chapter. With the exception of Chapter 1, all chapters are supplemented with exercises.
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: Chen Название: Multiscale Methods for Fredholm Integral Equations ISBN: 1107103479 ISBN-13(EAN): 9781107103474 Издательство: Cambridge Academ Рейтинг: Цена: 26136.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The authors present the state of the art in fast multiscale methods, from traditional numerical methods to the recently developed wavelet-based approach. Theorems of functional analysis used throughout the book are summarised in an appendix. Selected chapters are suitable for a one-semester course for advanced undergraduates or beginning graduates.
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