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Nonlinear Wave Equations, Tatsien Li; Yi Zhou


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Автор: Tatsien Li; Yi Zhou
Название:  Nonlinear Wave Equations
Перевод названия: Татьен Ли: Нелинейные волновые уравнения
ISBN: 9783662557235
Издательство: Springer
Классификация:


ISBN-10: 3662557231
Обложка/Формат: Hardcover
Страницы: 391
Вес: 0.74 кг.
Дата издания: 06.12.2017
Серия: Series in contemporary mathematics
Язык: English
Издание: 1st ed. 2017
Иллюстрации: 2 illustrations, black and white; xvi, 391 p. 2 illus.
Размер: 234 x 156 x 24
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
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.




Nonlinear Wave Equations (Conm/635)

Автор: Curtis, Dzhamay, Hereman & Prina
Название: Nonlinear Wave Equations (Conm/635)
ISBN: 1470410508 ISBN-13(EAN): 9781470410506
Издательство: Mare Nostrum (Eurospan)
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Цена: 15662.00 р.
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Описание: This volume contains the proceedings of the AMS Special Session on Nonlinear Waves and Integrable Systems, held on April 13-14, 2013, at the University of Colorado, Boulder, Colorado.The field of nonlinear waves is an exciting area of modern mathematical research that also plays a major role in many application areas from physics and fluids. The articles in this volume present a diverse cross section of topics from this field including work on the Inverse Scattering Transform, scattering theory, inverse problems, numerical methods for dispersive wave equations, and analytic and computational methods for free boundary problems. Significant attention to applications is also given throughout the articles with an extensive presentation on new results in the free surface problem in fluids.This volume will be useful to students and researchers interested in learning current techniques in studying nonlinear dispersive systems from both the integrable systems and computational points of view.

Differentiable Operators and Nonlinear Equations

Автор: Victor Khatskevich; David Shoiykhet
Название: Differentiable Operators and Nonlinear Equations
ISBN: 3764329297 ISBN-13(EAN): 9783764329297
Издательство: Springer
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Цена: 22354.00 р.
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Описание: Bridges the gap between nonlinear analysis, nonlinear operator equations and the theory of holomorphic mappings on Banach spaces. This book concludes with a brief exposition of the theory of spaces with indefinite metrics, and some relevant applications of the holomorphic mappings theory in this setting.

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: 9504.00 р.
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Описание: Xie presents a systematic introduction to differential equations for engineering students. The relevance of differential equations in engineering applications motivates readers, and studies of various types of differential equations are determined by engineering applications. The theory and techniques for solving differential equations are then applied to solve practical engineering problems.

Seminar on Nonlinear Partial Differential Equations

Автор: S.S. Chern
Название: Seminar on Nonlinear Partial Differential Equations
ISBN: 0387960791 ISBN-13(EAN): 9780387960791
Издательство: Springer
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Цена: 21661.00 р.
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Описание: When the Mathematical Sciences Research Institute was started in the Fall of 1982, one of the programs was "non-linear partial differential equations". A seminar was organized whose audience consisted of graduate students of the University and mature mathematicians who are not experts in the field. This volume contains 18 of these lectures. An effort is made to have an adequate Bibliography for further information. The Editor wishes to take this opportunity to thank all the speakers and the authors of the articles presented in this volume for their cooperation. S. S. Chern, Editor Table of Contents Geometrical and Analytical Questions Stuart S. Antman 1 in Nonlinear Elasticity An Introduction to Euler's Equations Alexandre J. Chorin 31 for an Incompressible Fluid Linearizing Flows and a Cohomology Phillip Griffiths 37 Interpretation of Lax Equations The Ricci Curvature Equation Richard Hamilton 47 A Walk Through Partial Differential Fritz John 73 Equations Remarks on Zero Viscosity Limit for Tosio Kato 85 Nonstationary Navier-Stokes Flows with Boundary Free Boundary Problems in Mechanics Joseph B. Keller 99 The Method of Partial Regularity as Robert V.

Singular Nonlinear Partial Differential Equations

Автор: Raymond G?rard; Hidetoshi Tahara
Название: Singular Nonlinear Partial Differential Equations
ISBN: 3322802868 ISBN-13(EAN): 9783322802866
Издательство: Springer
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Цена: 16769.00 р.
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Описание: The aim of this book is to put together all the results that are known about the existence of formal, holomorphic and singular solutions of singular non linear partial differential equations. We study the existence of formal power series solutions, holomorphic solutions, and singular solutions of singular non linear partial differential equations. In the first chapter, we introduce operators with regular singularities in the one variable case and we give a new simple proof of the classical Maillet's theorem for algebraic differential equations. In chapter 2, we extend this theory to operators in several variables. The chapter 3 is devoted to the study of formal and convergent power series solutions of a class of singular partial differential equations having a linear part, using the method of iteration and also Newton's method. As an appli- cation of the former results, we look in chapter 4 at the local theory of differential equations of the form xy' = 1(x, y) and, in particular, we show how easy it is to find the classical results on such an equation when 1(0,0) = 0 and give also the study of such an equation when 1(0,0) #- 0 which was never given before and can be extended to equations of the form Ty = F(x, y) where T is an arbitrary vector field.

Fourier analysis and nonlinear partial differential equations

Автор: Bahouri, Hajer Chemin, Jean-yves Danchin, Raphael
Название: Fourier analysis and nonlinear partial differential equations
ISBN: 3642266576 ISBN-13(EAN): 9783642266577
Издательство: Springer
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Цена: 13969.00 р.
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Описание: Recent years have seen a growth in interest in using partial differential equations in methods of Fourier analysis. This monograph sets out state-of-the-art models of these techniques as applied to transport, heat, wave, and Schrodinger equations.

Dispersive equations and nonlinear waves

Автор: Koch, Herbert Tataru, Daniel Visan, Monica
Название: Dispersive equations and nonlinear waves
ISBN: 303480735X ISBN-13(EAN): 9783034807357
Издательство: Springer
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Цена: 5589.00 р.
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Описание: Dispersive Equations and Nonlinear Waves

Numerical Solution of Nonlinear Equations

Автор: E.L. Allg?wer; K. Glashoff; H.-O. Peitgen
Название: Numerical Solution of Nonlinear Equations
ISBN: 3540108718 ISBN-13(EAN): 9783540108719
Издательство: Springer
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Цена: 6282.00 р.
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Nonlinear Semigroups, Partial Differential Equations and Attractors

Автор: Tepper L. Gill; Woodford W. Zachary
Название: Nonlinear Semigroups, Partial Differential Equations and Attractors
ISBN: 3540515941 ISBN-13(EAN): 9783540515944
Издательство: Springer
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Цена: 4884.00 р.
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Seminar on Nonlinear Partial Differential Equations

Автор: S.S. Chern
Название: Seminar on Nonlinear Partial Differential Equations
ISBN: 1461270138 ISBN-13(EAN): 9781461270133
Издательство: Springer
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Цена: 20962.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: When the Mathematical Sciences Research Institute was started in the Fall of 1982, one of the programs was "non-linear partial differential equations". A seminar was organized whose audience consisted of graduate students of the University and mature mathematicians who are not experts in the field. This volume contains 18 of these lectures. An effort is made to have an adequate Bibliography for further information. The Editor wishes to take this opportunity to thank all the speakers and the authors of the articles presented in this volume for their cooperation. S. S. Chern, Editor Table of Contents Geometrical and Analytical Questions Stuart S. Antman 1 in Nonlinear Elasticity An Introduction to Euler's Equations Alexandre J. Chorin 31 for an Incompressible Fluid Linearizing Flows and a Cohomology Phillip Griffiths 37 Interpretation of Lax Equations The Ricci Curvature Equation Richard Hamilton 47 A Walk Through Partial Differential Fritz John 73 Equations Remarks on Zero Viscosity Limit for Tosio Kato 85 Nonstationary Navier-Stokes Flows with Boundary Free Boundary Problems in Mechanics Joseph B. Keller 99 The Method of Partial Regularity as Robert V.


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