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Author : Michael Reed
Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 35X/5 ( reviews)
Book Synopsis Abstract Non Linear Wave Equations by : Michael Reed
Download or read book Abstract Non Linear Wave Equations written by Michael Reed. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Walter A. Strauss
Release : 1990-01-12
Genre : Mathematics
Kind : eBook
Book Rating : 250/5 ( reviews)
Book Synopsis Nonlinear Wave Equations by : Walter A. Strauss
Download or read book Nonlinear Wave Equations written by Walter A. Strauss. This book was released on 1990-01-12. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Jianke Yang
Release : 2010-12-02
Genre : Science
Kind : eBook
Book Rating : 051/5 ( reviews)
Book Synopsis Nonlinear Waves in Integrable and Non-integrable Systems by : Jianke Yang
Download or read book Nonlinear Waves in Integrable and Non-integrable Systems written by Jianke Yang. This book was released on 2010-12-02. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Release : 2015
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis An Abstract Nash-Moser Theorem and Applications to Nonlinear Wave Equations by :
Download or read book An Abstract Nash-Moser Theorem and Applications to Nonlinear Wave Equations written by . This book was released on 2015. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Satyanad Kichenassamy
Release : 1995-09-05
Genre : Science
Kind : eBook
Book Rating : 289/5 ( reviews)
Book Synopsis Nonlinear Wave Equations by : Satyanad Kichenassamy
Download or read book Nonlinear Wave Equations written by Satyanad Kichenassamy. This book was released on 1995-09-05. Available in PDF, EPUB and Kindle. Book excerpt: 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.
