Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow
Dan Knopf author Israel Michael Sigal author Gang Zhou author
Format:Paperback
Publisher:American Mathematical Society
Published:30th Jun '18
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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.
ISBN: 9781470428402
Dimensions: unknown
Weight: 175g
78 pages