Mean Curvature Flow: Proceedings of the John H. Barrett Memorial Lectures held at the University of Tennessee, Knoxville, May 29 - June 1, 2018, Theodora Bourni, Mat Langford

Автор: Gang Zhou, Dan Knopf, Israel Michael Sigal
Название: Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow
ISBN: 1470428407 ISBN-13(EAN): 9781470428402
Издательство: Mare Nostrum (Eurospan)
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Описание: Examines noncompact surfaces evolving by mean curvature flow (mcf). For an open set of initial data that are $C^3$-close to round, but without assuming rotational symmetry or positive mean curvature, the authors show that mcf solutions become singular in finite time by forming neckpinches, and they obtain detailed asymptotics of that singularity formation.

Автор: Yoshihiro Tonegawa
Название: Brakke`s Mean Curvature Flow
ISBN: 9811370745 ISBN-13(EAN): 9789811370748
Издательство: Springer
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Описание: This book explains the notion of Brakke`s mean curvature flow and its existence and regularity theories without assuming familiarity with geometric measure theory.

Автор: Carlo Mantegazza
Название: Lecture Notes on Mean Curvature Flow
ISBN: 3034803400 ISBN-13(EAN): 9783034803403
Издательство: Springer
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Описание: This introduction to the subject of mean curvature flow of hypersurfaces has a special emphasis on the analysis of singularities and provides a detailed discussion of the classical parametric approach mainly developed by R. Hamilton and G. Huisken.

Автор: Manuel Ritor?; Vicente Miquel; Carlo Sinestrari; J
Название: Mean Curvature Flow and Isoperimetric Inequalities
ISBN: 303460212X ISBN-13(EAN): 9783034602129
Издательство: Springer
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Описание: Geometric flows have many applications in physics and geometry. The mean curvature flow also has many geometric applications, in analogy with the Ricci flow of metrics on abstract riemannian manifolds.