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Author : Peter Cornelis Schuur
Publisher : Springer
ISBN 13 : 3540473874
Total Pages : 188 pages
Book Rating : 4.5/5 (44 download)
Download or read book Asymptotic Analysis of Soliton Problems written by Peter Cornelis Schuur and published by Springer. This book was released on 2006-11-14 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Cornelis Schuur
Publisher :
ISBN 13 : 9783662204375
Total Pages : 192 pages
Book Rating : 4.2/5 (43 download)
Download or read book Asymptotic Analysis of Soliton Problems written by Peter Cornelis Schuur and published by . This book was released on 2014-01-15 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mark J. Ablowitz
Publisher : Cambridge University Press
ISBN 13 : 1139503480
Total Pages : 363 pages
Book Rating : 4.1/5 (395 download)
Download or read book Nonlinear Dispersive Waves written by Mark J. Ablowitz and published by Cambridge University Press. This book was released on 2011-09-08 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit special solutions including those commonly known as solitons. This book describes the underlying approximation techniques and methods for finding solutions to these and other equations. The concepts and methods covered include wave dispersion, asymptotic analysis, perturbation theory, the method of multiple scales, deep and shallow water waves, nonlinear optics including fiber optic communications, mode-locked lasers and dispersion-managed wave phenomena. Most chapters feature exercise sets, making the book suitable for advanced courses or for self-directed learning. Graduate students and researchers will find this an excellent entry to a thriving area at the intersection of applied mathematics, engineering and physical science.
Author : Spyridon Kamvissis
Publisher : Princeton University Press
ISBN 13 : 069111482X
Total Pages : 281 pages
Book Rating : 4.6/5 (911 download)
Download or read book Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger Equation (AM-154) written by Spyridon Kamvissis and published by Princeton University Press. This book was released on 2003-09-07 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an asymptotic analysis via completely integrable techniques, of the initial value problem for the focusing nonlinear Schrodinger equation in the semiclassical asymptotic regime, this text exploits complete integrability to establish pointwise asymptotics for this problem's solution.
Author : Regional Research Conference on Mathematical Methods in Nonlinear Wave Propagation
Publisher : American Mathematical Soc.
ISBN 13 : 0821833499
Total Pages : 226 pages
Book Rating : 4.8/5 (218 download)
Download or read book Mathematical Studies in Nonlinear Wave Propagation written by Regional Research Conference on Mathematical Methods in Nonlinear Wave Propagation and published by American Mathematical Soc.. This book was released on 2005 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lively discussions and stimulating research were part of a five-day conference on Mathematical Methods in Nonlinear Wave Propagation sponsored by the NSF and CBMS. This volume is a collection of lectures and papers stemming from that event. Leading experts present dynamical systems and chaos, scattering and spectral theory, nonlinear wave equations, optimal control, optical waveguide design, and numerical simulation. The book is suitable for a diverse audience of mathematical specialists interested in fiber optic communications and other nonlinear phenomena. It is also suitable for engineers and other scientists interested in the mathematics of nonlinear wave propagation.
Author : Christian Klein
Publisher : Springer Nature
ISBN 13 : 3030914275
Total Pages : 596 pages
Book Rating : 4.0/5 (39 download)
Download or read book Nonlinear Dispersive Equations written by Christian Klein and published by Springer Nature. This book was released on 2021 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Dispersive Equations are partial differential equations that naturally arise in physical settings where dispersion dominates dissipation, notably hydrodynamics, nonlinear optics, plasma physics and Bose-Einstein condensates. The topic has traditionally been approached in different ways, from the perspective of modeling of physical phenomena, to that of the theory of partial differential equations, or as part of the theory of integrable systems. This monograph offers a thorough introduction to the topic, uniting the modeling, PDE and integrable systems approaches for the first time in book form. The presentation focuses on three "universal" families of physically relevant equations endowed with a completely integrable member: the Benjamin-Ono, Davey-Stewartson, and Kadomtsev-Petviashvili equations. These asymptotic models are rigorously derived and qualitative properties such as soliton resolution are studied in detail in both integrable and non-integrable models. Numerical simulations are presented throughout to illustrate interesting phenomena. By presenting and comparing results from different fields, the book aims to stimulate scientific interactions and attract new students and researchers to the topic. To facilitate this, the chapters can be read largely independently of each other and the prerequisites have been limited to introductory courses in PDE theory.
Author : Vasily Y. Belashov
Publisher : Springer Science & Business Media
ISBN 13 : 3540268804
Total Pages : 307 pages
Book Rating : 4.5/5 (42 download)
Download or read book Solitary Waves in Dispersive Complex Media written by Vasily Y. Belashov and published by Springer Science & Business Media. This book was released on 2006-01-20 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deals with the theoretical, analytical and advanced numerical study of the structure and dynamics of one-dimensional as well as two- and three-dimensional solitons and nonlinear waves described by Korteweg-de Vries (KdV), Kadomtsev-Petviashvili (KP), nonlinear Schrodinger (NLS) and derivative NLS (DNLS) classes of equations.
Author : Yurii G. Borisovich
Publisher : Springer
ISBN 13 : 3540458948
Total Pages : 338 pages
Book Rating : 4.5/5 (44 download)
Download or read book Global Analysis. Studies and Applications III written by Yurii G. Borisovich and published by Springer. This book was released on 2006-11-14 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Toshikazu Sunada
Publisher : Springer
ISBN 13 : 3540459308
Total Pages : 290 pages
Book Rating : 4.5/5 (44 download)
Download or read book Geometry and Analysis on Manifolds written by Toshikazu Sunada and published by Springer. This book was released on 2006-11-14 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Taniguchi Symposium on global analysis on manifolds focused mainly on the relationships between some geometric structures of manifolds and analysis, especially spectral analysis on noncompact manifolds. Included in the present volume are expanded versions of most of the invited lectures. In these original research articles, the reader will find up-to date accounts of the subject.
Author : Steven G. Krantz
Publisher : Springer
ISBN 13 : 3540477527
Total Pages : 207 pages
Book Rating : 4.5/5 (44 download)
Download or read book Complex Analysis written by Steven G. Krantz and published by Springer. This book was released on 2006-11-14 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference gathered together a small group of people with similar interests in the geometric function theory of several complex variables. While the speeches were of a specialized nature, the papers in the proceedings are largely of a survey and speculative nature. The volume is intended to serve both students and researchers as an invitation to active new areas of research. The level of the writing has been intentionally set in such a way that the papers will be accessible to a broad audience.
Author : Miguel Onorato
Publisher : Springer
ISBN 13 : 331939214X
Total Pages : 370 pages
Book Rating : 4.3/5 (193 download)
Download or read book Rogue and Shock Waves in Nonlinear Dispersive Media written by Miguel Onorato and published by Springer. This book was released on 2016-09-19 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained set of lectures addresses a gap in the literature by providing a systematic link between the theoretical foundations of the subject matter and cutting-edge applications in both geophysical fluid dynamics and nonlinear optics. Rogue and shock waves are phenomena that may occur in the propagation of waves in any nonlinear dispersive medium. Accordingly, they have been observed in disparate settings – as ocean waves, in nonlinear optics, in Bose-Einstein condensates, and in plasmas. Rogue and dispersive shock waves are both characterized by the development of extremes: for the former, the wave amplitude becomes unusually large, while for the latter, gradients reach extreme values. Both aspects strongly influence the statistical properties of the wave propagation and are thus considered together here in terms of their underlying theoretical treatment. This book offers a self-contained graduate-level text intended as both an introduction and reference guide for a new generation of scientists working on rogue and shock wave phenomena across a broad range of fields in applied physics and geophysics.
Author : Carlos E. Kenig
Publisher : American Mathematical Soc.
ISBN 13 : 1470420147
Total Pages : 161 pages
Book Rating : 4.4/5 (74 download)
Download or read book Lectures on the Energy Critical Nonlinear Wave Equation written by Carlos E. Kenig and published by American Mathematical Soc.. This book was released on 2015-04-14 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with recent advances in the study of the long-time asymptotics of large solutions to critical nonlinear dispersive equations. The first part of the monograph describes, in the context of the energy critical wave equation, the "concentration-compactness/rigidity theorem method" introduced by C. Kenig and F. Merle. This approach has become the canonical method for the study of the "global regularity and well-posedness" conjecture (defocusing case) and the "ground-state" conjecture (focusing case) in critical dispersive problems. The second part of the monograph describes the "channel of energy" method, introduced by T. Duyckaerts, C. Kenig, and F. Merle, to study soliton resolution for nonlinear wave equations. This culminates in a presentation of the proof of the soliton resolution conjecture, for the three-dimensional radial focusing energy critical wave equation. It is the intent that the results described in this book will be a model for what to strive for in the study of other nonlinear dispersive equations. A co-publication of the AMS and CBMS.
Author : Charles Fefferman
Publisher : Princeton University Press
ISBN 13 : 0691159416
Total Pages : 478 pages
Book Rating : 4.6/5 (911 download)
Download or read book Advances in Analysis written by Charles Fefferman and published by Princeton University Press. This book was released on 2014-01-05 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory. His fundamental contributions include the Kunze-Stein phenomenon, the construction of new representations, the Stein interpolation theorem, the idea of a restriction theorem for the Fourier transform, and the theory of Hp Spaces in several variables. Through his great discoveries, through books that have set the highest standard for mathematical exposition, and through his influence on his many collaborators and students, Stein has changed mathematics. Drawing inspiration from Stein’s contributions to harmonic analysis and related topics, this volume gathers papers from internationally renowned mathematicians, many of whom have been Stein’s students. The book also includes expository papers on Stein’s work and its influence. The contributors are Jean Bourgain, Luis Caffarelli, Michael Christ, Guy David, Charles Fefferman, Alexandru D. Ionescu, David Jerison, Carlos Kenig, Sergiu Klainerman, Loredana Lanzani, Sanghyuk Lee, Lionel Levine, Akos Magyar, Detlef Müller, Camil Muscalu, Alexander Nagel, D. H. Phong, Malabika Pramanik, Andrew S. Raich, Fulvio Ricci, Keith M. Rogers, Andreas Seeger, Scott Sheffield, Luis Silvestre, Christopher D. Sogge, Jacob Sturm, Terence Tao, Christoph Thiele, Stephen Wainger, and Steven Zelditch.
Author : Peter S. Landweber
Publisher : Springer
ISBN 13 : 3540393005
Total Pages : 232 pages
Book Rating : 4.5/5 (43 download)
Download or read book Elliptic Curves and Modular Forms in Algebraic Topology written by Peter S. Landweber and published by Springer. This book was released on 2006-11-15 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the introduction of elliptic genera and elliptic cohomology. The resulting papers range, fom these topics through to quantum field theory, with considerable attention to formal groups, homology and cohomology theories, and circle actions on spin manifolds. Ed. Witten's rich article on the index of the Dirac operator in loop space presents a mathematical treatment of his interpretation of elliptic genera in terms of quantum field theory. A short introductory article gives an account of the growth of this area prior to the conference.
Author : James C. Alexander
Publisher : Springer
ISBN 13 : 3540459464
Total Pages : 736 pages
Book Rating : 4.5/5 (44 download)
Download or read book Dynamical Systems written by James C. Alexander and published by Springer. This book was released on 2006-11-14 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume reflect the richness and diversity of the subject of dynamics. Some are lectures given at the three conferences (Ergodic Theory and Topological Dynamics, Symbolic Dynamics and Coding Theory and Smooth Dynamics, Dynamics and Applied Dynamics) held in Maryland between October 1986 and March 1987; some are work which was in progress during the Special Year, and some are work which was done because of questions and problems raised at the conferences. In addition, a paper of John Milnor and William Thurston, versions of which had been available as notes but not yet published, is included.
Author : Jose L. Bueso
Publisher : Springer
ISBN 13 : 3540392785
Total Pages : 343 pages
Book Rating : 4.5/5 (43 download)
Download or read book Ring Theory written by Jose L. Bueso and published by Springer. This book was released on 2007-01-05 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this proceedings volume are selected research papers in different areas of ring theory, including graded rings, differential operator rings, K-theory of noetherian rings, torsion theory, regular rings, cohomology of algebras, local cohomology of noncommutative rings. The book will be important for mathematicians active in research in ring theory.
Author : Francis Borceux
Publisher : Springer
ISBN 13 : 3540459855
Total Pages : 375 pages
Book Rating : 4.5/5 (44 download)
Download or read book Categorical Algebra and its Applications written by Francis Borceux and published by Springer. This book was released on 2006-11-14 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Categorical algebra and its applications contain several fundamental papers on general category theory, by the top specialists in the field, and many interesting papers on the applications of category theory in functional analysis, algebraic topology, algebraic geometry, general topology, ring theory, cohomology, differential geometry, group theory, mathematical logic and computer sciences. The volume contains 28 carefully selected and refereed papers, out of 96 talks delivered, and illustrates the usefulness of category theory today as a powerful tool of investigation in many other areas.
