Regularity theory for mean curvature flow

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Last edited by MARC Bot
September 28, 2024 | History

Regularity theory for mean curvature flow

This work is devoted to the motion of surfaces for which the normal velocity at every point is given by the mean curvature at that point; this geometric heat flow process is called mean curvature flow. Mean curvature flow and related geometric evolution equations are important tools in mathematics and mathematical physics. A major example is Hamilton's Ricci flow program, which has the aim of settling Thurston's geometrization conjecture, with recent major progress due to Perelman. Another important application of a curvature flow process is the resolution of the famous Penrose conjecture in general relativity by Huisken and Ilmanen. Under mean curvature flow, surfaces usually develop singularities in finite time. This work presents techniques for the study of singularities of mean curvature flow and is largely based on the work of K. Brakke, although more recent developments are incorporated.

Publish Date
Publisher
Birkhäuser
Language
English
Pages
165

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Previews available in: English

Edition Availability
Cover of: Regularity Theory for Mean Curvature Flow
Regularity Theory for Mean Curvature Flow
2012, Birkhauser Verlag
in English
Cover of: Regularity theory for mean curvature flow
Regularity theory for mean curvature flow
2004, Birkhäuser
in English
Cover of: Regularity Theory for Mean Curvature Flow
Regularity Theory for Mean Curvature Flow
July 13, 2004, Birkhäuser Boston
Paperback in English - 1 edition
Cover of: Regularity Theory for Mean Curvature Flow
Regularity Theory for Mean Curvature Flow
December 18, 2003, Birkhäuser Boston
Hardcover in English - 1 edition

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Book Details


Edition Notes

Includes bibliographical references (p. [153]-158) and index.

Published in
Boston
Series
Progress in nonlinear differential equations and their applications -- v. 57

Classifications

Dewey Decimal Class
516.3/62
Library of Congress
QA670 .E25 2004, QA1-939, QA670.E25 2004

The Physical Object

Pagination
xi, 165 p. :
Number of pages
165

ID Numbers

Open Library
OL22587956M
Internet Archive
regularitytheory00ecke_010
ISBN 10
0817632433, 3764332433
LCCN
2003064058
OCLC/WorldCat
53360485
Goodreads
5376146

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History

Download catalog record: RDF / JSON
September 28, 2024 Edited by MARC Bot import existing book
December 24, 2021 Edited by ImportBot import existing book
July 31, 2019 Edited by MARC Bot associate edition with work OL6772965W
December 4, 2010 Edited by Open Library Bot Added subjects from MARC records.
December 10, 2009 Created by WorkBot add works page