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Author : Katelyn Plaisier Leisman
Publisher :
Page : 548 pages
File Size : 26,66 MB
Release : 2017
Category :
ISBN :
Author : Jianke Yang
Publisher : SIAM
Page : 453 pages
File Size : 34,6 MB
Release : 2010-01-01
Category : Science
ISBN : 0898719682
Presents cutting-edge developments in the theory and experiments of nonlinear waves. Its comprehensive coverage of analytical and numerical methods for nonintegrable systems is the first of its kind.
Author : Walter A. Strauss
Publisher : American Mathematical Soc.
Page : 106 pages
File Size : 19,91 MB
Release : 1990-01-12
Category : Mathematics
ISBN : 0821807250
The theory of nonlinear wave equations in the absence of shocks began in the 1960s. Despite a great deal of recent activity in this area, some major issues remain unsolved, such as sharp conditions for the global existence of solutions with arbitrary initial data, and the global phase portrait in the presence of periodic solutions and traveling waves. This book, based on lectures presented by the author at George Mason University in January 1989, seeks to present the sharpest results to date in this area. The author surveys the fundamental qualitative properties of the solutions of nonlinear wave equations in the absence of boundaries and shocks. These properties include the existence and regularity of global solutions, strong and weak singularities, asymptotic properties, scattering theory and stability of solitary waves. Wave equations of hyperbolic, Schrodinger, and KdV type are discussed, as well as the Yang-Mills and the Vlasov-Maxwell equations. The book offers readers a broad overview of the field and an understanding of the most recent developments, as well as the status of some important unsolved problems. Intended for mathematicians and physicists interested in nonlinear waves, this book would be suitable as the basis for an advanced graduate-level course.
Author : Lokenath Debnath
Publisher : CUP Archive
Page : 376 pages
File Size : 37,93 MB
Release : 1983-12-30
Category : Mathematics
ISBN : 9780521254687
The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research, including nonlinear water waves, K-dV equations, solitions and inverse scattering transforms, stability of solitary waves, resonant wave interactions, nonlinear evolution equations, nonlinear wave phenomena in plasmas, recurrence phenomena in nonlinear wave systems, and the structure and dynamics of envelope solitions in plasmas.
Author : Malachy McConnell
Publisher :
Page : 79 pages
File Size : 30,22 MB
Release : 2002
Category : Nonlinear integral equations
ISBN :
Author : Christopher Donald Sogge
Publisher :
Page : 224 pages
File Size : 13,79 MB
Release : 2008
Category : Mathematics
ISBN :
Presents an account of the basic facts concerning the linear wave equation and the methods from harmonic analysis that are necessary when studying nonlinear hyperbolic differential equations. This book examines quasilinear equations with small data where the Klainerman-Sobolev inequalities and weighted space-time estimates are introduced.
Author : Michael Reed
Publisher : Springer
Page : 144 pages
File Size : 27,69 MB
Release : 1976
Category : Mathematics
ISBN :
Author : Satyanad Kichenassamy
Publisher : CRC Press
Page : 297 pages
File Size : 28,23 MB
Release : 2021-05-30
Category : Mathematics
ISBN : 1000444724
This work examines the mathematical aspects of nonlinear wave propagation, emphasizing nonlinear hyperbolic problems. It introduces the tools that are most effective for exploring the problems of local and global existence, singularity formation, and large-time behaviour of solutions, and for the study of perturbation methods.
Author : Jianke Yang
Publisher : SIAM
Page : 452 pages
File Size : 15,63 MB
Release : 2010-12-02
Category : Science
ISBN : 0898717051
Nonlinear Waves in Integrable and Nonintegrable Systems presents cutting-edge developments in the theory and experiments of nonlinear waves. Its comprehensive coverage of analytical and numerical methods for nonintegrable systems is the first of its kind. This book is intended for researchers and graduate students working in applied mathematics and various physical subjects where nonlinear wave phenomena arise (such as nonlinear optics, Bose-Einstein condensates, and fluid dynamics).
Author : Yan Guo
Publisher : American Mathematical Soc.
Page : 216 pages
File Size : 20,15 MB
Release : 2000
Category : Science
ISBN : 0821820710
This volume presents original research papers and expository articles from the conference in honour of Walter A. Strauss's 60th birthday, held at Brown University in Providence, Rhode Island. The book offers a collection of original papers and expository articles mainly devoted to the study of nonlinear wave equations. The articles cover a wide range of topics, including scattering theory, dispersive waves, classical field theory, mathematical fluid dynamics, kinetic theory, stability theory, and variational methods. The book offers a cross-section of current trends and research directions in the study of nonlinear wave equations and related topics.