Regularity Theory for Mean Curvature Flow | EKB DL

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Regularity Theory for Mean Curvature Flow

Regularity Theory for Mean Curvature Flow

Description

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.

Keywords

MathematicsCalculusDifferential EquationsGeometryDifferentialMathematical AnalysisSciencePhysicsMathematical & ComputationalMechanicsFluids

2004Book

Author(s)Klaus Ecker, Birkhauser

PublisherSpringer Science & Business Media

ISBN9780817632434

LanguageEnglish

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