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Lectures On The Analysis Of Nonlinear Partial Differential Equations, Lin & Zhang



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Автор: Lin & Zhang
Название:  Lectures On The Analysis Of Nonlinear Partial Differential Equations
Издательство: Eurospan
Классификация:
Исчисление и математический анализ

ISBN: 1571462678
ISBN-13(EAN): 9781571462671
ISBN: 1-57146-267-8
ISBN-13(EAN): 978-1-57146-267-1
Обложка/Формат: Paperback
Страницы: 393
Дата издания: 30.03.2013
Серия: Morningside lectures in mathematics
Язык: English
Размер: 229 x 152
Читательская аудитория: Professional and scholarly
Ключевые слова: Differential calculus & equations
Подзаголовок: Part 3
Рейтинг:
Поставляется из: Англии
Описание: This volume presents some of the most recent progress in the mathematical theory of fluid mechanics. The eight papers herein originated in a series of seminars held in 2011 at the Chinese Academy of Sciences in Beijing. Among them are Nicolas Burq on the wellposedness of the water wave problem with rough data, Jean-Yves Chemin on the wellposedness of the Navier-Stokes system, and Isabelle Gallagher on the semiclassical limit of a geostrophic system. This third volume of the series is a good reference for those working on nonlinear partial differential equations, especially as applied to fluid mechanics equations and micro-local analysis.



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: 4600 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.

Differential Equations for Engineers

Автор: Xie
Название: Differential Equations for Engineers
ISBN: 1107632951 ISBN-13(EAN): 9781107632950
Издательство: Cambridge Academ
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Цена: 5981 р.
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Описание: Xie presents a systematic introduction to ordinary differential equations for engineering students and practitioners. Mathematical concepts and various techniques are presented in a clear, logical, and concise manner. Various visual features are used to highlight focus areas. Complete illustrative diagrams are used to facilitate mathematical modeling of application problems. Readers are motivated by a focus on the relevance of differential equations through their applications in various engineering disciplines. Studies of various types of differential equations are determined by engineering applications. Theory and techniques for solving differential equations are then applied to solve practical engineering problems. A step-by-step analysis is presented to model the engineering problems using differential equations from physical principles and to solve the differential equations using the easiest possible method. This book is suitable for undergraduate students in engineering.

Fourier Analysis and Nonlinear Partial Differential Equations

Автор: Bahouri
Название: Fourier Analysis and Nonlinear Partial Differential Equations
ISBN: 3642168299 ISBN-13(EAN): 9783642168291
Издательство: Springer
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Цена: 12539 р.
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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.

Geometric Analysis and Nonlinear Partial Differential Equations

Автор: Hildebrandt Stefan, Karcher Hermann
Название: Geometric Analysis and Nonlinear Partial Differential Equations
ISBN: 3540440518 ISBN-13(EAN): 9783540440512
Издательство: Springer
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Цена: 14629 р.
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Описание: This well-organized and coherent collection of papers leads the reader to the frontiers of  present research in the theory of nonlinear partial differential equations and the calculus of variations and offers insight into some exciting developments. In addition, most articles also provide an excellent introduction to their background, describing extensively as they do the history of those problems presented, as well as the state of the art and offer a well-chosen guide to the literature.Part I contains the contributions of geometric nature: From spectral theory on regular and singular spaces to regularity theory of solutions of variational problems. Part II consists of articles on partial differential equations which originate from problems in physics, biology and stochastics. They cover elliptic, hyperbolic and parabolic cases.

Functional analysis, Sobolev spaces and partial differential equations

Автор: Brezis, H.
Название: Functional analysis, Sobolev spaces and partial differential equations
ISBN: 0387709134 ISBN-13(EAN): 9780387709130
Издательство: Springer
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Цена: 6787 р.
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Описание: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Nonlinear Differential Equations and Dynamical Systems

Автор: Verhulst
Название: Nonlinear Differential Equations and Dynamical Systems
ISBN: 3540609342 ISBN-13(EAN): 9783540609346
Издательство: Springer
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Цена: 5224 р.
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Описание: "A good book for a nice price!" (Monatshefte fГјr Mathematik)"... for lecture courses that cover the classical theory of nonlinear differential equations associated with PoincarГ© and Lyapunov and introduce the student to the ideas of bifurcation theory and chaos this is an ideal text ..." (Mathematika)"The pedagogical style is excellent, consisting typically of an insightful overview followed by theorems, illustrative examples and exercises." (Choice)

Lectures on Nonlinear Hyperbolic Differential Equations

Автор: H?rmander
Название: Lectures on Nonlinear Hyperbolic Differential Equations
ISBN: 3540629211 ISBN-13(EAN): 9783540629214
Издательство: Springer
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Цена: 4179 р.
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Описание: In this introductory textbook, a revised and extended version of well-known lectures by L. Hormander from 1986, four chapters are devoted to weak solutions of systems of conservation laws. Apart from that the book only studies classical solutions.

Two chapters concern the existence of global solutions or estimates of the lifespan for solutions of nonlinear perturbations of the wave or Klein-Gordon equation with small initial data. Four chapters are devoted to microanalysis of the singularities of the solutions. This part assumes some familiarity with pseudodifferential operators which are standard in the theory of linear differential operators, but the extension to the more exotic classes of opertors needed in the nonlinear theory is presented in complete detail.

Introduction to nonlinear partial differential equations

Автор: Logan, J. David
Название: Introduction to nonlinear partial differential equations
ISBN: 0470225955 ISBN-13(EAN): 9780470225950
Издательство: Wiley
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Цена: 13629 р.
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Описание: A textbook on nonlinear partial differential equations. It emphasizes hyperbolic and parabolic problems and includes a range of applications in the following areas: biology, chemistry, porous media, biological problems, combustion and detonation, traffic flow, water waves, plug flow reactors, and heat transfer.

Nonlinear Partial Differential Equations

Автор: Holden
Название: Nonlinear Partial Differential Equations
ISBN: 3642253601 ISBN-13(EAN): 9783642253607
Издательство: Springer
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Цена: 17764 р.
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Описание: The topic of the 2010 Abel Symposium, hosted at the Norwegian Academy of Science and Letters, Oslo, was Nonlinear Partial Differential Equations, the study of which is of fundamental importance in mathematics and in almost all of natural sciences, economics, and engineering. This area of mathematics is currently in the midst of an unprecedented development worldwide. Differential equations are used to model phenomena of increasing complexity, and in areas that have traditionally been outside the realm of mathematics. New analytical tools and numerical methods are dramatically improving our understanding of nonlinear models. Nonlinearity gives rise to novel effects reflected in the appearance of shock waves, turbulence, material defects, etc., and offers challenging mathematical problems. On the other hand, new mathematical developments provide new insight in many applications. These proceedings present a selection of the latest exciting results by world leading researchers.

Nonlinear Partial Differential Equations for Scientists and Engineers

Автор: Debnath
Название: Nonlinear Partial Differential Equations for Scientists and Engineers
ISBN: 0817682643 ISBN-13(EAN): 9780817682644
Издательство: Springer
Рейтинг:
Цена: 11494 р.
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Описание: The revised and enlarged third edition of this successful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied and updated applications.  In an effort to make the book more useful for a diverse readership, updated modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation.Nonlinear Partial Differential Equations for Scientists and Engineers, Third Edition, improves on an already highly complete and accessible resource for graduate students and professionals in mathematics, physics, science, and engineering. It may be used to great effect as a course textbook, research reference, or self-study guide.

Nonlinear Partial Differential Equations

Автор: Caffarelli
Название: Nonlinear Partial Differential Equations
ISBN: 3034801904 ISBN-13(EAN): 9783034801904
Издательство: Springer
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Цена: 2607 р.
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Описание: The book covers several topics of current interest in the field of nonlinear partial differential equations and their applications to the physics of continuous media and particle interactions. It treats the quasigeostrophic equation, integral diffusions, periodic Lorentz gas, Boltzmann equation, and critical dispersive nonlinear Schr?dinger and wave equations. The book describes in a careful and expository manner several powerful methods from recent top research articles.

Solving Nonlinear Partial Differential Equations with Maple and Mathematica

Автор: Shingareva
Название: Solving Nonlinear Partial Differential Equations with Maple and Mathematica
ISBN: 3709105161 ISBN-13(EAN): 9783709105160
Издательство: Springer
Рейтинг:
Цена: 11494 р.
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Описание: The emphasis of the book is given in how to construct different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, easily, and quickly. The reader can learn a wide variety of techniques and solve numerous nonlinear PDEs included and many other differential equations, simplifying and transforming the equations and solutions, arbitrary functions and parameters, presented in the book). Numerous comparisons and relationships between various types of solutions, different methods and approaches are provided, the results obtained in Maple and Mathematica, facilitates a deeper understanding of the subject. Among a big number of CAS, we choose the two systems, Maple and Mathematica, that are used worldwide by students, research mathematicians, scientists, and engineers. As in the our previous books, we propose the idea to use in parallel both systems, Maple and Mathematica, since in many research problems frequently it is required to compare independent results obtained by using different computer algebra systems, Maple and/or Mathematica, at all stages of the solution process. One of the main points (related to CAS) is based on the implementation of a whole solution method (e.g. starting from an analytical derivation of exact governing equations, constructing discretizations and analytical formulas of a numerical method, performing numerical procedure, obtaining various visualizations, and comparing the numerical solution obtained with other types of solutions considered in the book, e.g. with asymptotic solution).


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