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Navier-Stokes Prob In 21St Century, Lemarie-Rieusset


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Цена: 14545.00р.
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Автор: Lemarie-Rieusset
Название:  Navier-Stokes Prob In 21St Century
ISBN: 9781466566217
Издательство: Taylor&Francis
Классификация:

ISBN-10: 1466566213
Обложка/Формат: Hardback
Страницы: 740
Вес: 1.28 кг.
Дата издания: 21.03.2016
Язык: English
Размер: 167 x 243 x 47
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Differential calculus & equations, MATHEMATICS / Differential Equations / General,SCIENCE / Physics / General,TECHNOLOGY & ENGINEERING / Mechanical
Основная тема: Differential Equations
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

Up-to-Date Coverage of the Navier-Stokes Equation from an Expert in Harmonic Analysis

The complete resolution of the Navier-Stokes equation--one of the Clay Millennium Prize Problems--remains an important open challenge in partial differential equations (PDEs) research despite substantial studies on turbulence and three-dimensional fluids. The Navier-Stokes Problem in the 21st Century provides a self-contained guide to the role of harmonic analysis in the PDEs of fluid mechanics.

The book focuses on incompressible deterministic Navier-Stokes equations in the case of a fluid filling the whole space. It explores the meaning of the equations, open problems, and recent progress. It includes classical results on local existence and studies criterion for regularity or uniqueness of solutions. The book also incorporates historical references to the (pre)history of the equations as well as recent references that highlight active mathematical research in the field.




      Новое издание
The Navier-Stokes Problem in the 21st Century

Автор: Lemarie-Rieusset, Pierre Gilles
Название: The Navier-Stokes Problem in the 21st Century
ISBN: 0367487268 ISBN-13(EAN): 9780367487263
Издательство: Taylor&Francis
Цена: 16843.00 р.
Наличие на складе: Есть у поставщикаПоставка под заказ.


The Three-Dimensional Navier–Stokes Equations

Автор: Robinson
Название: The Three-Dimensional Navier–Stokes Equations
ISBN: 1107019664 ISBN-13(EAN): 9781107019669
Издательство: Cambridge Academ
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Цена: 11246.00 р.
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Описание: A rigorous but accessible introduction to the mathematical theory of the three-dimensional Navier-Stokes equations, offering a self-contained treatment of many of the major results. Numerous exercises are provided, each with full solutions, making the book an ideal text for a graduate course of one or two semesters.

Navier–Stokes Equations on R3 ? [0, T]

Автор: Stenger
Название: Navier–Stokes Equations on R3 ? [0, T]
ISBN: 3319275240 ISBN-13(EAN): 9783319275246
Издательство: Springer
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Цена: 12577.00 р.
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Описание: In this monograph, leading researchers in the world ofnumerical analysis, partial differential equations, and hard computationalproblems study the properties of solutions of the Navier–Stokes partial differential equations on (x, y, z,t) ? ?3 ? [0, T]. Initially converting the PDE to asystem of integral equations, the authors then describe spaces A of analytic functions that housesolutions of this equation, and show that these spaces of analytic functionsare dense in the spaces S of rapidlydecreasing and infinitely differentiable functions. This method benefits fromthe following advantages: The functions of S are nearly always conceptual rather than explicit Initial and boundary conditions of solutions of PDE are usually drawn from the applied sciences, and as such, they are nearly always piece-wise analytic, and in this case, the solutions have the same properties When methods of approximation are applied to functions of A they converge at an exponential rate, whereas methods of approximation applied to the functions of S converge only at a polynomial rate Enables sharper bounds on the solution enabling easier existence proofs, and a more accurate and more efficient method of solution, including accurate error boundsFollowing the proofs of denseness, the authors prove theexistence of a solution of the integral equations in the space of functions A ? ?3 ? [0, T], and provide an explicit novelalgorithm based on Sinc approximation and Picard–like iteration for computingthe solution. Additionally, the authors include appendices that provide acustom Mathematica program for computing solutions based on the explicitalgorithmic approximation procedure, and which supply explicit illustrations ofthese computed solutions.

Acoustic and Electromagnetic Equations / Integral Representations for Harmonic Problems

Автор: Nedelec Jean-Claude
Название: Acoustic and Electromagnetic Equations / Integral Representations for Harmonic Problems
ISBN: 0387951555 ISBN-13(EAN): 9780387951553
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This self-contained book is devoted to the study of the acoustic wave equations and the Maxwell system, the two most common waves equations that are encountered in physics or in engineering. It presents a detailed analysis of their mathematical and physical properties. In particular, the author focuses on the study of the harmonic exterior problems, building a mathematical framework which provides the existence and uniqueness of the solutions. Acoustic and electromagnetic waves underlie a vast range of modern technology from sonar, radio, and television to microwave heating and electromagnetic compatibility analysis. Mathematical modeling of these waves has undergone considerable growth in recent years, and this timely book, written by a leading international researcher, presents the research in a careful and complete way.

The N-Vortex Problem / Analytical Techniques

Автор: Newton Paul K.
Название: The N-Vortex Problem / Analytical Techniques
ISBN: 0387952268 ISBN-13(EAN): 9780387952260
Издательство: Springer
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Цена: 12577.00 р.
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Описание: This book is an introduction to current research on the N- vortex problem of fluid mechanics. Its goal is to describe the Hamiltonian aspects of vortex dynamics so that graduate students and researchers can use the book as an entry point into the rather large literature on integrable and non-integrable vortex problems within the broader context of dynamical systems. It is as self-contained as possible: the only training required of the reader is a good background in advanced calculus and ordinary and partial differential equations at the level of a typical undergraduate engineering, physics, or applied mathematics major. Exercises of varying difficulty are found at the end of each chapter which often require the reader to fill in details of proofs or complete examples.

Mathematical Problems in Image Processing

Автор: Aubert
Название: Mathematical Problems in Image Processing
ISBN: 0387322000 ISBN-13(EAN): 9780387322001
Издательство: Springer
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Цена: 18167.00 р.
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Описание: The updated 2nd edition of this book presents a variety of image analysis applications, reviews their precise mathematics and shows how to discretize them. For the mathematical community, the book shows the contribution of mathematics to this domain, and highlights unsolved theoretical questions.

Stabilization of Navier–Stokes Flows

Автор: Viorel Barbu
Название: Stabilization of Navier–Stokes Flows
ISBN: 1447126106 ISBN-13(EAN): 9781447126102
Издательство: Springer
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Цена: 15672.00 р.
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Описание: Stabilization of Navier-Stokes Flows presents recent notable progress in the mathematical theory of stabilization of Newtonian fluid flows.

Recent Progress in the Theory of the Euler and Navier–Stokes Equations

Автор: Robinson
Название: Recent Progress in the Theory of the Euler and Navier–Stokes Equations
ISBN: 1107554977 ISBN-13(EAN): 9781107554979
Издательство: Cambridge Academ
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Цена: 9186.00 р.
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Описание: This survey volume provides an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. It serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.

Navier-Stokes Flow Around a Rotating Obstacle

Автор: Necasova
Название: Navier-Stokes Flow Around a Rotating Obstacle
ISBN: 9462392307 ISBN-13(EAN): 9789462392304
Издательство: Springer
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Цена: 7685.00 р.
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Описание:

The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of problems arising from the motion of viscous incompressible fluids around rotating obstacles. It offers a new approach to this type of problems. We derive the fundamental solution of the steady case and we give pointwise estimates of velocity and its gradient (first and second one). Each chapter is preceded by a thorough discussion of the investigated problems, along with their motivation and the strategy used to solve them.
The book will be useful to researchers and graduate students in mathematics, in particular mathematical fluid mechanics and differential equations.

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