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Wednesday, April 22, 2020 | History

8 edition of **Mathematical aspects of nonlinear dispersive equations** found in the catalog.

Mathematical aspects of nonlinear dispersive equations

- 276 Want to read
- 1 Currently reading

Published
**2007** by Princeton University Press in Princeton .

Written in English

- Differential equations, Nonlinear -- Congresses,
- Nonlinear partial differential operators -- Congresses

**Edition Notes**

Includes bibliographical references and index

Statement | Jean Bourgain, Carlos E. Kenig, and S. Klainerman, editors |

Genre | Congresses |

Series | Annals of mathematics studies -- no. 163 |

Contributions | Bourgain, Jean, 1954-, Kenig, Carlos E., 1953-, Klainerman, Sergiu, 1950- |

Classifications | |
---|---|

LC Classifications | QA372 .M387 2007 |

The Physical Object | |

Pagination | vi, 300 p. : |

Number of Pages | 300 |

ID Numbers | |

Open Library | OL17219419M |

ISBN 10 | 069112860X, 069112955X |

ISBN 10 | 9780691128603, 9780691129556 |

LC Control Number | 2006050254 |

Mathematics for Nonlinear Physics - eBook. Rating Required. Name Email Required. Review Subject Required. Comments Required. SKU: The editors of this book have incorporated contributions from a diverse group of leading researchers in the field of nonlinear systems. To enrich the scope of the content, this book contains a valuable selection of works on fractional differential book aims to provide an overview of the current knowledge on nonlinear systems and some aspects of fractional calculus. The main.

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This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field.

The expository papers describe the state of the art and research directions.1/5(1). Mathematical Aspects of Nonlinear Dispersive Equations (AM) (Annals of Mathematics Studies) - Kindle edition by Jean Bourgain, Carlos E.

Kenig, Sergiu Klainerman. Download it once and read it on your Kindle device, PC, phones or tablets.1/5(1). Jean Bourgain Mathematical Aspects of Nonlinear Dispersive Equations (AM) This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field.

Mathematical Aspects of Nonlinear Dispersive Equations (AM) by Sergiu Klainerman, Jean Bourgain, Carlos E. Kenig. Mathematical Aspects of Nonlinear Dispersive Equations (AM) Edited by Jean Bourgain, Carlos E. Kenig, and Sergiu Klainerman Series: Annals of Mathematics Studies.

Mathematical Aspects of Nonlinear Dispersive Equations (AM) by Jean Bourgain,available at Book Depository with free delivery worldwide. Mathematical Aspects of Nonlinear Dispersive Equations (AM) Ed. by Bourgain, Jean / Kenig, Carlos E. / Klainerman, Sergiu Series: Annals of Mathematics Studies at the NSF-CBMS regional conference on nonlinear and dispersive wave equations at New Mexico State University, held in June Its objective is to present some aspects of the global existence theory (and in particular, the regularity and scattering theory) for various nonlinear dispersive and wave equations, such as the.

Read "Mathematical Aspects of Nonlinear Dispersive Equations (AM)" by available from Rakuten Kobo. This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expos Brand: Princeton University Press.

The aim of this textbook is to introduce the theory of nonlinear dispersive equations to graduate students in a constructive way. The first three chapters are dedicated to preliminary material, such as Fourier transform, interpolation theory and Sobolev spaces. The authors then proceed to use the.

Chapter 4. Nonlinear Elliptic Equations with Measures Revisited H. Brezis, M. Marcus, and A. Ponce 55 Chapter 5. Global Solutions for the Nonlinear Schrödinger Equation on Three-Dimensional Compact Manifolds by N. Burq, P. Gérard, and N.

Tzvetkov Chapter 6. Power Series Solution of a Nonlinear Schrödinger Equation by M. Christ The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, modulation and adapted function spaces, with an application to the generalized Korteweg-de Vries equation and the Kadomtsev-Petviashvili equation.

The energy-critical nonlinear Schrödinger equation. This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field.

The expository papers describe the state of the art and research directions. Summary: A collection of papers on mathematical aspects of nonlinear dispersive equations, including both expository and technical papers that reflect a number of advances in the field. The expository papers describe the state of the art and research directions.

The technical papers concentrate on a specific problem and the related analysis. Lee "Mathematical Aspects of Nonlinear Dispersive Equations (AM)" por disponible en Rakuten Kobo. This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expos Brand: Princeton University Press.

The area of nonlinear dispersive partial differential equations (PDEs) is a fast developing field which has become exceedingly technical in recent years. With this book, the authors provide a self-contained and accessible introduction for graduate or advanced undergraduate students in mathematics, engineering, and the physical by: Abstract: This book provides a self-contained presentation of classical and new methods for studying wave phenomena that are related to the existence and stability of solitary and periodic travelling wave solutions for nonlinear dispersive evolution equations.

The simplest possible evolution partial diﬀerential equation that is not either hyperbolic or parabolic is the Airy Equation, which initial value problem (IVP) can be written as ˆ (−i∂ t +∂ xxx)u = 0 u(0,x) = u 0(x), where x ∈ R.

The wave solution of this IVP is the simplest example of a solution to a dispersive equation. We will computeFile Size: KB.

Nonlinear Dispersive Equations: Local and Global Analysis Terence Tao Publication Year: ISBN ISBN CBMS Regional Conference Series in Mathematics. Nonlinear Dispersive Equations: Existence and Stability of Solitary and Periodic Travelling Wave Solutions About this Title.

Jaime Angulo Pava, IME-USP, São Paulo, Brazil. Publication: Mathematical Surveys and Monographs Publication Year Volume ISBNs: (print); (online)Cited by: Buy the Mathematical Aspects of Nonlinear Dispersive Equations (AM) ebook.

This acclaimed book by Jean Bourgain is available at in several formats for your eReader. at the NSF-CBMS regional conference on nonlinear and dispersive wave equations at New Mexico State University, held in June Its objective is to present some aspects of the global existence theory (and in particular, the regularity and scattering theory) for various nonlinear dispersive and wave equations, such as theFile Size: 2MB.

No part of this book may be reproduced in any form by any electronic or mechanical means (including photocopying, recording, or information storage and retrieval) without permission in writing from the publisher, except for reading.

This book presents various mathematical aspects of the nonlinear Schrödinger equation. It studies both problems of local nature (local existence of solutions, uniqueness, regularity, smoothing effect) and problems of global nature (finite-time blowup, global existence, asymptotic behavior of.

This volume presents recent progress in the theory of nonlinear dispersive equations, primarily the nonlinear Schrodinger (NLS) equation. The Cauchy problem for defocusing NLS with critical nonlinearity is discussed.

New techniques and results are described on global existence and properties of solutions with large Cauchy data. BibTeX @ARTICLE{Christ07seriessolution, author = {Michael Christ}, title = {series solution of a nonlinear Schrödinger equation.

In Mathematical aspects of nonlinear dispersive equations, volume }, journal = {of Ann. of Math. Stud}, year = {}, pages = {}}. Particularly useful tools in studying the nonlinear Schrodinger equation are energy and Strichartz's estimates. This book presents various mathematical aspects of the nonlinear Schrodinger equation.

It examines both problems of local nature (local existence of solutions, uniqueness, regularity. Buy Nonlinear Dispersive Equations: Local and Global Analysis (CBMS Regional Conference Series in Mathematics) UK ed. by Terence Tao (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.

The Mathematical Sciences Research Institute (MSRI), founded inis an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions.

The Institute is located at 17 Gauss Way, on the University of California, Berkeley campus, close to Grizzly Peak, on the. Local and Global Analysis of Nonlinear Dispersive and Wave Equations book. Read reviews from world’s largest community for readers.

Among nonlinear PDEs, 5/5(3). Ionescu, Alexandru D.; Kenig, Carlos E. / Local and global wellposedness of periodic KP-I equations. Mathematical Aspects of Nonlinear Dispersive Equations (AM.

This makes the book interesting for professionals in the fields of nonlinear physics, applied mathematics and fluid mechanics as well as students who are studying these subjects.

The book can also be used as a basis for a one-semester lecture course in applied mathematics or mathematical physics. The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg–de Vries (KdV) in the nineteenth century.

In the s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit. This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field.

The expository papers describe the state of t. The area of nonlinear dispersive partial differential equations (PDEs) is a fast developing field which has become exceedingly technical in recent years.

With this book, the authors provide a self-contained and accessible introduction for graduate or advanced undergraduate students in mathematics, engineering, and the physical sciences.

Dispersive hydrodynamics has emerged as a unified mathematical framework for the description of multiscale nonlinear wave phenomena in dispersive media, encompassing both dynamic and stochastic aspects of wave propagation.

Among nonlinear PDEs, dispersive and wave equations form an important class of equations. These include the nonlinear Schrodinger equation, the nonlinear wave equation, the Korteweg de Vries equation, and the wave maps equation.

This book is an introduction to the methods and results used in the modern analysis (both locally and globally in 5/5(3). The aim of these notes is to give an introduction to the mathematics of nonlinear waves. The waves are modelled by partial differential equations (PDE), in particular hyperbolic or dispersive equations.

Some aspects of completely integrable systems and soliton theory are also Size: 1MB. In mathematics, a dispersive partial differential equation or dispersive PDE is a partial differential equation that is dispersive.

In this context, dispersion means that waves of different wavelength propagate at different phase velocities.

Rodnianski, I & Tao, TLongtime decay estimates for the Schrödinger equation on manifolds. in Mathematical Aspects of Nonlinear Dispersive Equations (AM.

: Local And Global Analysis of Nonlinear Dispersive And Wave Equations (CBMS Regional Conference Series in Mathematics) () by Terence Tao and a great selection of similar New, Used and Collectible Books available now at great prices.5/5(3).The areas of research include: differential equations (ODEs and PDEs), difference equations, dynamical systems, ergodic theory, fluid dynamics, long time behavior of dynamical systems, modeling in mathematical biology, nonlinear PDEs and applications,stochastic ODEs and PDEs, fluid dynamics (Navier-Stokes, Euler, and Boussinesq equations).Mathematical Advances in Geophysical Fluid Dynamics (postponed because of covid) - ; Nonlinear Waves and Dispersive Equations (postponed because of covid) -