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Science/Engineering Partial Regularity for Harmonic Maps and Related Problems

Posted on 2010-03-16




Name:Science/Engineering Partial Regularity for Harmonic Maps and Related Problems
ASIN/ISBN:9812560858
Language:English
File size:5.5 Mb
Publish Date: 2005
ISBN: 9812560858
Pages: 184 pages
File Type: PDF
File Size: 5,5 MB
Other Info: World Scientific Publishing Company
   Science/Engineering Partial Regularity for Harmonic Maps and Related Problems

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Roger Moser, "Partial Regularity for Harmonic Maps and Related Problems"

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.

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