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Monday, August 10, 2020 | History

5 edition of Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) (Annals of Mathematics Studies) found in the catalog.

Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) (Annals of Mathematics Studies)

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  • 4 Currently reading

Published by Princeton University Press .
Written in English

    Subjects:
  • Differential Equations,
  • Mathematics / Differential Equations,
  • Mathematics,
  • Congresses,
  • Differential equations, Nonlinear,
  • Nonlinear partial differential operators,
  • Science/Mathematics

  • Edition Notes

    ContributionsJean Bourgain (Editor), Carlos E. Kenig (Editor), Sergiu Klainerman (Editor)
    The Physical Object
    FormatHardcover
    Number of Pages296
    ID Numbers
    Open LibraryOL7759314M
    ISBN 10069112860X
    ISBN 109780691128603

    American Mathematical Society Charles Street Providence, Rhode Island or AMS, American Mathematical Society, the tri-colored AMS logo, and Advancing research, Creating connections, are trademarks and services marks of the American Mathematical Society and registered in the U.S. Patent and Trademark. Book Description. 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.

    book is very important for people. The book Nonlinear Dispersive Equations (Mathematical Surveys and Monographs) ended up being making you to know about other knowledge and of course you can take more information. It is quite advantages for you. The publication Nonlinear Dispersive Equations (Mathematical. 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 solutions).

    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). Chapter 4. Nonlinear Elliptic Equations with Measures Revisited H. Brezis, M. Marcus, and A. C. 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


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Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) (Annals of Mathematics Studies) Download PDF EPUB FB2

Just having finished the thrilling Criminal Aspects of Nonlinear Dispersive Equations, with its investigation of the psychology of mass murderers and the latest forensics techniques, I was sadly disappointed in this latest contribution to the series.

Essentially every page of this book is covered with mathematical equations, each more 1/5(1). 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) por. Annals of Mathematics Studies (Book ) ¡Gracias por compartir. Has enviado la siguiente calificación y reseña.

Lo publicaremos en nuestro sitio después de haberla : Princeton University Press. Mathematical Aspects of Nonlinear Dispersive Equations (AM) Ed. by Bourgain, Mathematical Aspects of Nonlinear Dispersive Equations book / Kenig, Carlos E.

/ Klainerman, Sergiu Series: Annals of Mathematics Studies Index was published in Mathematical Aspects of Nonlinear Dispersive Equations (AM) on page Chapter 6. Power Series Solution of a Nonlinear Schrödinger Equation was published in Mathematical Aspects of Nonlinear Dispersive Equations (AM) on page 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.

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). The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, Dispersive Equations and Nonlinear Waves Generalized Korteweg–de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps.

This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two key models, the Korteweg–de Vries equat. 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.

The book deals with many topics that have been the focus of intensive. 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. 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. Mathematical Aspects of Nonlinear Dispersive Equations (AM) (Annals of Mathematics Studies) - Kindle edition by Bourgain, Jean, Kenig, Carlos E., Klainerman, Sergiu. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading Mathematical Aspects of Nonlinear Dispersive Equations 1/5(1). 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. approximation and numerical aspects. The journal also welcomes application-oriented articles with strong mathematical content in scientific areas such as classical, statistical and quantum mechanics, fluid dynamics, electromagnetism, chemical kinetics, combustion theory, population dynamics, economics and finance.

Bibliographic Data Nonlinear. Among nonlinear PDEs, dispersive and wave equations form an important class of equations. These include the nonlinear Schrödinger 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.

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 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. The nonlinear Schrodinger equation has received a great deal of attention from mathematicians, in particular because of its applications to nonlinear optics.

It is also a good model dispersive equation, since it is often technically simpler than other dispersive equations, such as the wave or Korteweg-de Vries equation. Particularly useful tools in studying the nonlinear Schrodinger equation.

Book Description: 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.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 time) of the Cauchy problem for such equations.4/5(1).A mathematical description is provided by the Stokes equations and a Fokker–Planck equation for the one-particle phase space density.

This is a nonlinear system that depends on a number of parametric functions of the spatial concentration of the particles. These functions are known only empirically or for dilute suspensions.