Memoirs of the American Mathematical Society
2018; 78 pp; Softcover
MSC: Primary 53; 35;

Print ISBN: 978-1-4704-2840-2
Product Code: MEMO/253/1210
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Electronic ISBN: 978-1-4704-4415-0
Product Code: MEMO/253/1210.E
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Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow

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Zhou Gang; Dan Knopf; Israel Michael Sigal

The authors study 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. The results show in a precise way that mcf solutions become asymptotically rotationally symmetric near a neckpinch singularity.

Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow

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Print Product Code: MEMO/253/1210

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Title (HTML): Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow

Author(s) (Product display): Zhou Gang; Dan Knopf; Israel Michael Sigal

Affiliation(s) (HTML): California Institute of Technology, Pasadena, California, USA; University of Texas at Austin, Austin, Texas, USA; University of Toronto, Toronto, Ontario, Canada

Abstract:

Book Series Name: Memoirs of the American Mathematical Society

Publication Month and Year: 2018-05-29

Page Count: 78

Cover Type: Softcover

Print ISBN-13: 978-1-4704-2840-2

Online ISBN 13: 978-1-4704-4415-0

Print ISSN: 0065-9266

Online ISSN: 0065-9266

Primary MSC: 53; 35

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