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(Ebook) Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow by Zhou Gang; Dan Knopf; Israel Michael Sigal ISBN 9781470444150, 1470444151

  • SKU: EBN-51631736
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Instant download (eBook) Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow after payment.
Authors:Zhou Gang; Dan Knopf; Israel Michael Sigal
Pages:90 pages.
Year:2018
Editon:1
Publisher:American Mathematical Society
Language:english
File Size:0.89 MB
Format:pdf
ISBNS:9781470444150, 1470444151
Categories: Ebooks

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(Ebook) Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow by Zhou Gang; Dan Knopf; Israel Michael Sigal ISBN 9781470444150, 1470444151

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.
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