Regularity theory for mean curvature flow
by Klaus Ecker and Birkhauser
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.
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Subjects
Curvature, Flows (Differentiable dynamical systems), Global differential geometry, Parabolic Differential equations, Algebraic geometry, Science/Mathematics, Flows (Differentiable dynamica, Science, Mathematics, Mechanics - Dynamics - Fluid Dynamics, Mathematical Analysis, Geometry - Differential, Mathematics / Geometry / Differential, Differential equations, Parabolic, Differential equations, Parabo, Fluid dynamics, Partial Differential equations, Differential Geometry, Differential equations, partial, Measure and Integration, Mathematical and Computational Physics Theoretical| Edition | Availability |
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Regularity Theory for Mean Curvature Flow
2012, Birkhauser Verlag
in English
0817682104 9780817682101
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Regularity Theory for Mean Curvature Flow
July 13, 2004, Birkhäuser Boston
Paperback
in English
- 1 edition
0817637818 9780817637811
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Regularity Theory for Mean Curvature Flow
December 18, 2003, Birkhäuser Boston
Hardcover
in English
- 1 edition
0817632433 9780817632434
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Book Details
Edition Notes
Includes bibliographical references (p. [153]-158) and index.
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- Created November 16, 2008
- 9 revisions
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