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Fourier Analysis and Nonlinear Partial Differential Equations, Bahouri



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Цена: 11219р.
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Склад Англия: 537 шт.  Склад Америка: 106 шт.  
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Автор: Bahouri
Название:  Fourier Analysis and Nonlinear Partial Differential Equations
Издательство: Springer
Классификация:
Дифферунциально и интегральное исчисление и математический анализ

ISBN: 3642168299
ISBN-13(EAN): 9783642168291
ISBN: 3-642-16829-9
ISBN-13(EAN): 978-3-642-16829-1
Обложка/Формат: Hardback
Страницы: 522
Вес: 0.964 кг.
Дата издания: 2011
Серия: Grundlehren der mathematischen Wissenschaften Vol. 343
Язык: ENG
Издание: 1st Ed.
Иллюстрации: Illustrations
Размер: 235 x 155 x 33
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Описание: In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of evolution equations. The present book aims at presenting self-contained, state- of- the- art models of those techniques with applications to different classes of partial differential equations: transport, heat, wave and Schr?dinger equations.  It also offers more sophisticated models originating from fluid mechanics (in particular the incompressible and compressible Navier-Stokes equations) or general relativity. It is either directed to anyone with a good undergraduate level of knowledge in analysis or useful for experts who are eager to know the benefit that one might gain from Fourier analysis when dealing with nonlinear partial differential equations.
Дополнительное описание:




Linear Partial Differential Equations and Fourier Theory

Автор: Pivato
Название: Linear Partial Differential Equations and Fourier Theory
ISBN: 0521136598 ISBN-13(EAN): 9780521136594
Издательство: Cambridge Academ
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Цена: 4891 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Do you want a rigorous book that remembers where PDEs come from and what they look like? This highly visual introduction to linear PDEs and initial/boundary value problems connects the math to physical reality, all the time providing a rigorous mathematical foundation for all solution methods. Readers are gradually introduced to abstraction – the most powerful tool for solving problems – rather than simply drilled in the practice of imitating solutions to given examples. The book is therefore ideal for students in mathematics and physics who require a more theoretical treatment than given in most introductory texts. Also designed with lecturers in mind, the fully modular presentation is easily adapted to a course of one-hour lectures, and a suggested 12-week syllabus is included to aid planning. Downloadable files for the hundreds of figures, hundreds of challenging exercises, and practice problems that appear in the book are available online, as are solutions.

Geometric Partial Differential Equations and Image Analysis

Автор: Guillermo Sapiro
Название: Geometric Partial Differential Equations and Image Analysis
ISBN: 0521685079 ISBN-13(EAN): 9780521685078
Издательство: Cambridge Academ
Цена: 4162 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book provides an introduction to the use of geometric partial differential equations in image processing and computer vision. This research area brings a number of new concepts into the field, providing a very fundamental and formal approach to image processing. State-of-the-art practical results in a large number of real problems are achieved with the techniques described in this book. Applications covered include image segmentation, shape analysis, image enhancement, and tracking. This book will be a useful resource for researchers and practitioners. It is intended to provide information for people investigating new solutions to image processing problems as well as for people searching for existent advanced solutions.

Fourier Analysis and Partial Differential Equations

Автор: Rafael Jos? Iorio, Jr
Название: Fourier Analysis and Partial Differential Equations
ISBN: 052162116X ISBN-13(EAN): 9780521621168
Издательство: Cambridge Academ
Рейтинг:
Цена: 11761 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This modern introduction to Fourier analysis and partial differential equations is intended to be used with courses for beginning graduate students. With minimal prerequisites the authors take the reader from fundamentals to research topics in the area of nonlinear evolution equations. The first part of the book consists of some very classical material, followed by a discussion of the theory of periodic distributions and the periodic Sobolev spaces. The authors then turn to the study of linear and nonlinear equations in the setting provided by periodic distributions. They assume only some familiarity with Banach and Hilbert spaces and the elementary properties of bounded linear operators. After presenting a fairly complete discussion of local and global well-posedness for the nonlinear Schrodinger and the Korteweg-de Vries equations, they turn their attention, in the two final chapters, to the non-periodic setting, concentrating on problems that do not occur in the periodic case.

Linear Partial Differential Equations and Fourier Theory

Автор: Pivato
Название: Linear Partial Differential Equations and Fourier Theory
ISBN: 0521199700 ISBN-13(EAN): 9780521199704
Издательство: Cambridge Academ
Рейтинг:
Цена: 10511 р.
Наличие на складе: Поставка под заказ.

Описание: Do you want a rigorous book that remembers where PDEs come from and what they look like? This highly visual introduction to linear PDEs and initial/boundary value problems connects the math to physical reality, all the time providing a rigorous mathematical foundation for all solution methods. Readers are gradually introduced to abstraction – the most powerful tool for solving problems – rather than simply drilled in the practice of imitating solutions to given examples. The book is therefore ideal for students in mathematics and physics who require a more theoretical treatment than given in most introductory texts. Also designed with lecturers in mind, the fully modular presentation is easily adapted to a course of one-hour lectures, and a suggested 12-week syllabus is included to aid planning. Downloadable files for the hundreds of figures, hundreds of challenging exercises, and practice problems that appear in the book are available online, as are solutions.

Zeytounian, Navier-Stokes-Fourier Equations

Название: Zeytounian, Navier-Stokes-Fourier Equations
ISBN: 3642207456 ISBN-13(EAN): 9783642207457
Издательство: Springer
Рейтинг:
Цена: 14854 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This research monograph deals with a modeling theory of the system of Navier-Stokes-Fourier equations for a Newtonian fluid governing a compressible viscous and heat conducting flows. The main objective is threefold. First , to 'deconstruct' this Navier-Stokes-Fourier system in order to unify the puzzle of the various partial simplified approximate models used in Newtonian Classical Fluid Dynamics and this, first facet, have obviously a challenging approach and a very important pedagogic impact on the university education. The second facet of the main objective is to outline a rational consistent asymptotic/mathematical theory of the of  fluid flows modeling on the basis of a typical Navier-Stokes-Fourier  initial and boundary value problem. The third facet is devoted to an illustration of our rational asymptotic/mathematical modeling theory for various technological and geophysical stiff  problems from: aerodynamics, thermal and thermocapillary convections and also meteofluid dynamics.

Fourier Analysis and Its Applications

Автор: Vretblad
Название: Fourier Analysis and Its Applications
ISBN: 0387008365 ISBN-13(EAN): 9780387008363
Издательство: Springer
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Цена: 4857 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book is a carefully prepared account of the basic ideas in Fourier analysis and its applications to the study of partial differential equations. The author succeeds to make his exposition accessible to readers with a limited background, for example, those not acquainted with the Lebesgue integral. Readers should be familiar with calculus, linear algebra, and complex numbers. At the same time, the author has managed to include discussions of more advanced topics such as the Gibbs phenomenon, distributions, Sturm-Liouville theory, Cesaro summability and multi-dimensional Fourier analysis, topics which one usually does not find in books at this level. A variety of worked examples and exercises will help the readers to apply their newly acquired knowledge.

Fourier Integrals in Classical Analysis

Автор: Christopher D. Sogge
Название: Fourier Integrals in Classical Analysis
ISBN: 0521060974 ISBN-13(EAN): 9780521060974
Издательство: Cambridge Academ
Цена: 4579 р.
Наличие на складе: Невозможна поставка.

Описание: Fourier Integrals in Classical Analysis is an advanced monograph concerned with modern treatments of central problems in harmonic analysis. The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis. Using microlocal analysis, the author, in particular, studies problems involving maximal functions and Riesz means using the so-called half-wave operator. This self-contained book starts with a rapid review of important topics in Fourier analysis. The author then presents the necessary tools from microlocal analysis, and goes on to give a proof of the sharp Weyl formula which he then modifies to give sharp estimates for the size of eigenfunctions on compact manifolds. Finally, at the end, the tools that have been developed are used to study the regularity properties of Fourier integral operators, culminating in the proof of local smoothing estimates and their applications to singular maximal theorems in two and more dimensions.

Fourier Analysis and Partial Differential Equations

Автор: Iorio, Jr
Название: Fourier Analysis and Partial Differential Equations
ISBN: 0521629098 ISBN-13(EAN): 9780521629096
Издательство: Cambridge Academ
Рейтинг:
Цена: 6036 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book was first published in 2001. It provides an introduction to Fourier analysis and partial differential equations and is intended to be used with courses for beginning graduate students. With minimal prerequisites the authors take the reader from fundamentals to research topics in the area of nonlinear evolution equations. The first part of the book consists of some very classical material, followed by a discussion of the theory of periodic distributions and the periodic Sobolev spaces. The authors then turn to the study of linear and nonlinear equations in the setting provided by periodic distributions. They assume only some familiarity with Banach and Hilbert spaces and the elementary properties of bounded linear operators. After presenting a fairly complete discussion of local and global well-posedness for the nonlinear Schrodinger and the Korteweg-de Vries equations, they turn their attention, in the two final chapters, to the non-periodic setting, concentrating on problems that do not occur in the periodic case.

Fourier Series and Numerical Methods for Partial Differential Equations

Автор: Bernatz
Название: Fourier Series and Numerical Methods for Partial Differential Equations
ISBN: 0470617969 ISBN-13(EAN): 9780470617960
Издательство: Wiley
Рейтинг:
Цена: 9562 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Unable to find a suitable coursebook for an introductory PDE course, the author wrote one that combines the needed foundation and theory with tangible applications in physics and other disciplines. Since many practical applications are non-linear, numerical solution techniques are required.

The Analysis of Linear Partial Differential Operators I / Distribution Theory and Fourier Analysis

Автор: HГ¶rmander Lars
Название: The Analysis of Linear Partial Differential Operators I / Distribution Theory and Fourier Analysis
ISBN: 3540006621 ISBN-13(EAN): 9783540006626
Издательство: Springer
Рейтинг:
Цена: 4674 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Vol. 1 of Lars HГ¶rmander's influential 4-volume treatise is a detailed exposition of the theory of distributions.From the reviews: "In order to illustrate the richness of the book: in my review of the 1983 edition [...] I gave a list of 20 subjects which were new compared to HГ¶rmander's book of 1963. Most of these subjects concern important, basic and highly nontrivial theorems in analysis. HГ¶rmander's treatment of these is extremely clear and efficient and often highly original. [...] Most of the exercises are witty, with an interesting point. The phrasing of both the exercises and the answers and hints is very careful [...]  In all, the book can be highly recommended, both as a textbook for advanced students, and as background and reference for introductory courses on distributions and Fourier analysis."J.J. Duistermaat in Mededelingen van het Wiskundig Genootschap  

The Fourier Integral and Certain of its Applications

Автор: Wiener, Norbert
Название: The Fourier Integral and Certain of its Applications
ISBN: 0521358841 ISBN-13(EAN): 9780521358842
Издательство: Cambridge Academ
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Цена: 3121 р.
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Описание: The book was written from lectures given at the University of Cambridge and maintains throughout a high level of rigour.

Analysis Of Stochastic Partial Differential Equations (Cbms/119)

Автор: Khoshnevisan
Название: Analysis Of Stochastic Partial Differential Equations (Cbms/119)
ISBN: 147041547X ISBN-13(EAN): 9781470415471
Издательство: Eurospan
Рейтинг:
Цена: 4346 р.
Наличие на складе: Невозможна поставка.

Описание: The general area of stochastic PDEs is interesting to mathematicians because it contains an enormous number of challenging open problems. There is also a great deal of interest in this topic because it has deep applications in disciplines that range from applied mathematics, statistical mechanics, and theoretical physics, to theoretical neuroscience, theory of complex chemical reactions [including polymer science], fluid dynamics, and mathematical finance. The stochastic PDEs that are studied in this book are similar to the familiar PDE for heat in a thin rod, but with the additional restriction that the external forcing density is a two-parameter stochastic process, or what is more commonly the case, the forcing is a ``random noise,'' also known as a ``generalized random field.'' At several points in the lectures, there are examples that highlight the phenomenon that stochastic PDEs are not a subset of PDEs. In fact, the introduction of noise in some partial differential equations can bring about not a small perturbation, but truly fundamental changes to the system that the underlying PDE is attempting to describe. The topics covered include a brief introduction to the stochastic heat equation, structure theory for the linear stochastic heat equation, and an in-depth look at intermittency properties of the solution to semilinear stochastic heat equations. Specific topics include stochastic integrals a la Norbert Wiener, an infinite-dimensional Ito-type stochastic integral, an example of a parabolic Anderson model, and intermittency fronts.There are many possible approaches to stochastic PDEs. The selection of topics and techniques presented here are informed by the guiding example of the stochastic heat equation.


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