Regularity Theory for Mean Curvature Flow

Lieferzeit: Lieferbar innerhalb 14 Tagen

117,69 

Progress in Nonlinear Differential Equations and Their Applications 57

ISBN: 0817637818
ISBN 13: 9780817637811
Autor: Ecker, Klaus
Verlag: Springer Basel AG
Umfang: xiii, 165 S.
Erscheinungsdatum: 13.07.2004
Auflage: 1/2004
Format: 1.7 x 24.2 x 16
Gewicht: 425 g
Produktform: Kartoniert
Einband: Kartoniert

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 flowsMean curvature flow and related geometric evolution equations are important tools in mathematics and mathematical physicsPresents 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

Artikelnummer: 3240860 Kategorie:

Beschreibung

Mean curvature flow and related flows are important tools in mathematics and mathematical physics. For example, the famous Penrose conjecture in general relativity by Huisken and Ilmanan was based on a curvature flow approach. Under mean curvature flow, surfaces usually develop singularities in finite time. This book presents techniques in the study of singularities of mean curvature flow. It details the influential work of  K. Brakke as well as such recent developments as relations to regularity theory for minimal surfaces, as in Allard's and de Giorgi's work.

Herstellerkennzeichnung:


Springer Basel AG in Springer Science + Business Media
Heidelberger Platz 3
14197 Berlin
DE

E-Mail: juergen.hartmann@springer.com

Das könnte Ihnen auch gefallen …