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Regularity Theory for Mean Curvature Flow || by Klaus Ecker (auth.) is a nonfiction available to read on EtoBox.

What is Regularity Theory for Mean Curvature Flow || about?

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.

Who reads Regularity Theory for Mean Curvature Flow ||?

Author

Klaus Ecker (auth.)

Publisher

Birkhäuser Boston

Published

2004

Language

EN

ISBN

9780817682101

Category

nonfiction

Subjects

Mathematics, Science, Physics