Defocusing Nonlinear Schr Dinger Equations
Download Defocusing Nonlinear Schr Dinger Equations full books in PDF, epub, and Kindle. Read online free Defocusing Nonlinear Schr Dinger Equations ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Defocusing Nonlinear Schr dinger Equations
Author | : Benjamin Dodson |
Publsiher | : Cambridge University Press |
Total Pages | : 255 |
Release | : 2019-03-28 |
Genre | : Mathematics |
ISBN | : 9781108472081 |
Download Defocusing Nonlinear Schr dinger Equations Book in PDF, Epub and Kindle
Explores Schrödinger equations with power-type nonlinearity, with scattering results for mass- and energy-critical Schrödinger equations.
The Defocusing Nonlinear Schr dinger Equation
Author | : Panayotis G. Kevrekidis,Dimitri J. Frantzeskakis,Ricardo Carretero-GonzØlez |
Publsiher | : SIAM |
Total Pages | : 429 |
Release | : 2015-08-04 |
Genre | : Mathematics |
ISBN | : 9781611973945 |
Download The Defocusing Nonlinear Schr dinger Equation Book in PDF, Epub and Kindle
Bose?Einstein condensation is a phase transition in which a fraction of particles of a boson gas condenses into the same quantum state known as the Bose?Einstein condensate (BEC). The aim of this book is to present a wide array of findings in the realm of BECs and on the nonlinear SchrÓdinger-type models that arise therein.÷The Defocusing Nonlinear SchrÓdinger Equation÷is a broad study of nonlinear÷excitations in self-defocusing nonlinear media. It summarizes state-of-the-art knowledge on the defocusing nonlinear SchrÓdinger-type models in a single volume and contains a wealth of resources, including over 800 references to relevant articles and monographs and a meticulous index for ease of navigation.
Global Solutions of Nonlinear Schrodinger Equations
Author | : Jean Bourgain |
Publsiher | : American Mathematical Soc. |
Total Pages | : 193 |
Release | : 1999 |
Genre | : Differential equations, Partial |
ISBN | : 9780821819197 |
Download Global Solutions of Nonlinear Schrodinger Equations Book in PDF, Epub and Kindle
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. Current research in harmonic analysis around Strichartz's inequalities and its relevance to nonlinear PDE is presented and several topics in NLS theory on bounded domains are reviewed. Using the NLS as an example, the book offers comprehensive insight on current research related to dispersive equations and Hamiltonian PDEs.
The Defocusing NLS Equation and Its Normal Form
![The Defocusing NLS Equation and Its Normal Form](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 2014 |
Genre | : Electronic Book |
ISBN | : 3037196319 |
Download The Defocusing NLS Equation and Its Normal Form Book in PDF, Epub and Kindle
The Discrete Nonlinear Schr dinger Equation
Author | : Panayotis G. Kevrekidis |
Publsiher | : Springer Science & Business Media |
Total Pages | : 417 |
Release | : 2009-07-07 |
Genre | : Science |
ISBN | : 9783540891994 |
Download The Discrete Nonlinear Schr dinger Equation Book in PDF, Epub and Kindle
This book constitutes the first effort to summarize a large volume of results obtained over the past 20 years in the context of the Discrete Nonlinear Schrödinger equation and the physical settings that it describes.
The Defocusing NLS Equation and Its Normal Form
Author | : Benoit Grébert,Thomas Kappeler |
Publsiher | : Erich Schmidt Verlag GmbH & Co. KG |
Total Pages | : 184 |
Release | : 2014 |
Genre | : Schrödinger equation |
ISBN | : 3037191317 |
Download The Defocusing NLS Equation and Its Normal Form Book in PDF, Epub and Kindle
The theme of this monograph is the nonlinear Schrodinger equation. This equation models slowly varying wave envelopes in dispersive media and arises in various physical systems such as water waves, plasma physics, solid state physics and nonlinear optics. More specifically, this book treats the defocusing nonlinear Schrodinger (dNLS) equation on the circle with a dynamical systems viewpoint. By developing the normal form theory, it is shown that this equation is an integrable partial differential equation in the strongest possible sense. In particular, all solutions of the dNLS equation on the circle are periodic, quasi-periodic or almost-periodic in time and Hamiltonian perturbations of this equation can be studied near solutions far away from the equilibrium. The book is intended not only for specialists working at the intersection of integrable PDEs and dynamical systems but also for researchers farther away from these fields as well as for graduate students. It is written in a modular fashion; each of its chapters and appendices can be read independently of each other.
Dispersive Equations and Nonlinear Waves
Author | : Herbert Koch,Daniel Tataru,Monica Vişan |
Publsiher | : Springer |
Total Pages | : 310 |
Release | : 2014-07-14 |
Genre | : Mathematics |
ISBN | : 9783034807364 |
Download Dispersive Equations and Nonlinear Waves Book in PDF, Epub and Kindle
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, global solutions to the defocusing problem, and scattering are the focus of the second part. Using this concrete example, it walks the reader through the induction on energy technique, which has become the essential methodology for tackling large data critical problems. This includes refined/inverse Strichartz estimates, the existence and almost periodicity of minimal blow up solutions, and the development of long-time Strichartz inequalities. The third part describes wave and Schrödinger maps. Starting by building heuristics about multilinear estimates, it provides a detailed outline of this very active area of geometric/dispersive PDE. It focuses on concepts and ideas and should provide graduate students with a stepping stone to this exciting direction of research.
The Nonlinear Schr dinger Equation
Author | : Gadi Fibich |
Publsiher | : Springer |
Total Pages | : 870 |
Release | : 2015-03-06 |
Genre | : Mathematics |
ISBN | : 9783319127484 |
Download The Nonlinear Schr dinger Equation Book in PDF, Epub and Kindle
This book is an interdisciplinary introduction to optical collapse of laser beams, which is modelled by singular (blow-up) solutions of the nonlinear Schrödinger equation. With great care and detail, it develops the subject including the mathematical and physical background and the history of the subject. It combines rigorous analysis, asymptotic analysis, informal arguments, numerical simulations, physical modelling, and physical experiments. It repeatedly emphasizes the relations between these approaches, and the intuition behind the results. The Nonlinear Schrödinger Equation will be useful to graduate students and researchers in applied mathematics who are interested in singular solutions of partial differential equations, nonlinear optics and nonlinear waves, and to graduate students and researchers in physics and engineering who are interested in nonlinear optics and Bose-Einstein condensates. It can be used for courses on partial differential equations, nonlinear waves, and nonlinear optics. Gadi Fibich is a Professor of Applied Mathematics at Tel Aviv University. “This book provides a clear presentation of the nonlinear Schrodinger equation and its applications from various perspectives (rigorous analysis, informal analysis, and physics). It will be extremely useful for students and researchers who enter this field.” Frank Merle, Université de Cergy-Pontoise and Institut des Hautes Études Scientifiques, France