An Introduction To The Theory Of Wave Maps And Related Geometric Problems

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An Introduction To The Theory Of Wave Maps And Related Geometric Problems

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Author : Dan-andrei Geba
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-08-18

An Introduction To The Theory Of Wave Maps And Related Geometric Problems written by Dan-andrei Geba and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-18 with Mathematics categories.

The wave maps system is one of the most beautiful and challenging nonlinear hyperbolic systems, which has captured the attention of mathematicians for more than thirty years now. In the study of its various issues, such as the well-posedness theory, the formation of singularities, and the stability of the solitons, in order to obtain optimal results, one has to use intricate tools coming not only from analysis, but also from geometry and topology. Moreover, the wave maps system is nothing other than the Euler-Lagrange system for the nonlinear sigma model, which is one of the fundamental problems in classical field theory. One of the goals of our book is to give an up-to-date and almost self-contained overview of the main regularity results proved for wave maps. Another one is to introduce, to a wide mathematical audience, physically motivated generalizations of the wave maps system (e.g., the Skyrme model), which are extremely interesting and difficult in their own right.

Nonlinear Partial Differential Equations In Geometry And Physics

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Author : Garth Baker
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Nonlinear Partial Differential Equations In Geometry And Physics written by Garth Baker and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This volume presents the proceedings of a series of lectures hosted by the Math ematics Department of The University of Tennessee, Knoxville, March 22-24, 1995, under the title "Nonlinear Partial Differential Equations in Geometry and Physics" . While the relevance of partial differential equations to problems in differen tial geometry has been recognized since the early days of the latter subject, the idea that differential equations of differential-geometric origin can be useful in the formulation of physical theories is a much more recent one. Perhaps the earliest emergence of systems of nonlinear partial differential equations having deep geo metric and physical importance were the Einstein equations of general relativity (1915). Several basic aspects of the initial value problem for the Einstein equa tions, such as existence, regularity and stability of solutions remain prime research areas today. eighty years after Einstein's work. An even more recent development is the realization that structures originally the context of models in theoretical physics may turn out to have introduced in important geometric or topological applications. Perhaps its emergence can be traced back to 1954, with the introduction of a non-abelian version of Maxwell's equations as a model in elementary-particle physics, by the physicists C.N. Yang and R. Mills. The rich geometric structure ofthe Yang-Mills equations was brought to the attention of mathematicians through work of M.F. Atiyah, :"J. Hitchin, I.

Geometric Wave Equations

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Author : Jalal M. Ihsan Shatah
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Geometric Wave Equations written by Jalal M. Ihsan Shatah and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

This volume contains notes of the lectures given at the Courant Institute and a DMV-Seminar at Oberwolfach. The focus is on the recent work of the authors on semilinear wave equations with critical Sobolev exponents and on wave maps in two space dimensions. Background material and references have been added to make the notes self-contained. The book is suitable for use in a graduate-level course on the topic. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

Mathematics Unlimited 2001 And Beyond

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Author : Björn Engquist
language : en
Publisher: Springer
Release Date : 2017-04-05

Mathematics Unlimited 2001 And Beyond written by Björn Engquist and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-05 with Mathematics categories.

This is a book guaranteed to delight the reader. It not only depicts the state of mathematics at the end of the century, but is also full of remarkable insights into its future de- velopment as we enter a new millennium. True to its title, the book extends beyond the spectrum of mathematics to in- clude contributions from other related sciences. You will enjoy reading the many stimulating contributions and gain insights into the astounding progress of mathematics and the perspectives for its future. One of the editors, Björn Eng- quist, is a world-renowned researcher in computational sci- ence and engineering. The second editor, Wilfried Schmid, is a distinguished mathematician at Harvard University. Likewi- se the authors are all foremost mathematicians and scien- tists, and their biographies and photographs appear at the end of the book. Unique in both form and content, this is a "must-read" for every mathematician and scientist and, in particular, for graduates still choosing their specialty.

Nonlinear Hyperbolic Equations And Field Theory

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Author : M K V Murthy
language : en
Publisher: CRC Press
Release Date : 1992-03-30

Nonlinear Hyperbolic Equations And Field Theory written by M K V Murthy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-03-30 with Mathematics categories.

Contains the proceedings of a workshop on nonlinear hyperbolic equations held at Varenna, Italy in June 1990.

Geometric Theory Of Functions Of A Complex Variable

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Author : Gennadiĭ Mikhaĭlovich Goluzin
language : en
Publisher: American Mathematical Soc.
Release Date : 1969

Geometric Theory Of Functions Of A Complex Variable written by Gennadiĭ Mikhaĭlovich Goluzin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Functions of complex variables categories.

Propagation Of A Curved Shock And Nonlinear Ray Theory

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Author : Prasad
language : en
Publisher: CRC Press
Release Date : 1993-09-27

Propagation Of A Curved Shock And Nonlinear Ray Theory written by Prasad and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-27 with Mathematics categories.

Phoolan Prasad's book contains theoretical developments in the study of the propagation of a curved nonlinear wave front and shock front, particularly in the caustic region. It should be an invaluable reference source for researchers in nonlinear waves; fluid dynamics (especially gas dynamics); mathematical physics; aeronautical, chemical and mechanical engineering.

An Index And Other Useful Information

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Author : A. Dold
language : en
Publisher: Springer
Release Date : 2013-12-11

An Index And Other Useful Information written by A. Dold and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with Mathematics categories.

An Introduction To Semiflows

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Author : Albert J. Milani
language : en
Publisher: CRC Press
Release Date : 2004-10-14

An Introduction To Semiflows written by Albert J. Milani and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-14 with Mathematics categories.

This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs). It focuses on the basic results of the theory of dynamical systems that can be extended naturally and applied to study the asymptotic behavior of the solutions of DEEs. The auth

Nuclear Science Abstracts

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Author :
language : en
Publisher:
Release Date : 1976

Nuclear Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Nuclear energy categories.