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The Analysis Of Harmonic Maps And Their Heat Flows

2008-05-23 Mathematics
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Release : 2008-05-23
Genre : Mathematics
Kind : eBook
Book Rating : 247/5 ( reviews)

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Book Synopsis The Analysis Of Harmonic Maps And Their Heat Flows by : Fanghua Lin

Download or read book The Analysis Of Harmonic Maps And Their Heat Flows written by Fanghua Lin. This book was released on 2008-05-23. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many important theorems on the regularity of minimizing harmonic maps by Schoen-Uhlenbeck, stationary harmonic maps between Riemannian manifolds in higher dimensions by Evans and Bethuel, and weakly harmonic maps from Riemannian surfaces by Helein, as well as on the structure of a singular set of minimizing harmonic maps and stationary harmonic maps by Simon and Lin. The second part of the book contains a systematic coverage of heat flow of harmonic maps that includes Eells-Sampson's theorem on global smooth solutions, Struwe's almost regular solutions in dimension two, Sacks-Uhlenbeck's blow-up analysis in dimension two, Chen-Struwe's existence theorem on partially smooth solutions, and blow-up analysis in higher dimensions by Lin and Wang.The book can be used as a textbook for the topic course of advanced graduate students and for researchers who are interested in geometric partial differential equations and geometric analysis.

Singular Harmonic Maps and Harmonic Heat Flow

2001
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Release : 2001
Genre :
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Book Synopsis Singular Harmonic Maps and Harmonic Heat Flow by : Adriano Pisante

Download or read book Singular Harmonic Maps and Harmonic Heat Flow written by Adriano Pisante. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Regularity for Harmonic Maps and Related Problems

2005 Mathematics
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Release : 2005
Genre : Mathematics
Kind : eBook
Book Rating : 858/5 ( reviews)

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Book Synopsis Partial Regularity for Harmonic Maps and Related Problems by : Roger Moser

Download or read book Partial Regularity for Harmonic Maps and Related Problems written by Roger Moser. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a collection of results pertaining to the partial regularity of solutions to various variational problems, all of which are connected to the Dirichlet energy of maps between Riemannian manifolds, and thus related to the harmonic map problem. The topics covered include harmonic maps and generalized harmonic maps; certain perturbed versions of the harmonic map equation; the harmonic map heat flow; and the Landau-Lifshitz (or Landau-Lifshitz-Gilbert) equation. Since the methods in regularity theory of harmonic maps are quite subtle, it is not immediately clear how they can be applied to certain problems that arise in applications. The book discusses in particular this question.

Nonlinear Markov Operators, Discrete Heat Flow, and Harmonic Maps Between Singular Spaces

2000
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Release : 2000
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Book Synopsis Nonlinear Markov Operators, Discrete Heat Flow, and Harmonic Maps Between Singular Spaces by : Karl-Theodor Sturm

Download or read book Nonlinear Markov Operators, Discrete Heat Flow, and Harmonic Maps Between Singular Spaces written by Karl-Theodor Sturm. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt:

The Analysis of Harmonic Maps and Their Heat Flows

2008 Science
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Release : 2008
Genre : Science
Kind : eBook
Book Rating : 523/5 ( reviews)

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Book Synopsis The Analysis of Harmonic Maps and Their Heat Flows by : Fanghua Lin

Download or read book The Analysis of Harmonic Maps and Their Heat Flows written by Fanghua Lin. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the Fourth Meeting on CPT and Lorentz Symmetry, held at Indiana University in Bloomington on August 8-11, 2007. The Meeting focused on experimental tests of these fundamental symmetries and on important theoretical issues, including scenarios for possible relativity violations. Experimental subjects covered include: astrophysical observations, clock-comparison measurements, cosmological birefringence, electromagnetic resonant cavities, gravitational tests, matter interferometry, muon behavior, neutrino oscillations, oscillations and decays of neutral mesons, particle-antiparticle comparisons, post-Newtonian gravity, space-based missions, spectroscopy of hydrogen and antihydrogen, and spin-polarized matter.Theoretical topics covered include: physical effects at the level of the Standard Model, General Relativity, and beyond; the possible origins and mechanisms for Lorentz and CPT violations; and associated issues in field theory, particle physics, gravity, and string theory. The contributors consist of the leading experts in this very active research field.

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