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Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow /

"We study noncompact surfaces evolving by mean curvature flow (MCF). For an open set of initial data that are C³-close to round, but without assuming rotational symmetry or positive mean curvature, we show that MCF solutions become singular in finite time by forming neckpinches, and we obtain d...

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Bibliographic Details
Main Authors: Zhou, Gang Mathematics professor
Group Author: Knopf, Dan, 1959; Sigal, Israel Michael, 1945
Published: American Mathematical Society,
Publisher Address: Providence, RI :
Publication Dates: [2018]
Literature type: Book
Language: English
Series: Memoirs of the American Mathematical Society, number 1210
Subjects:
Evolution equations > Asymptotic theory
Asymptotic expansions
Curvature
Singularities Mathematics
Summary: "We study noncompact surfaces evolving by mean curvature flow (MCF). For an open set of initial data that are C³-close to round, but without assuming rotational symmetry or positive mean curvature, we show that MCF solutions become singular in finite time by forming neckpinches, and we obtain detailed asymptotics of that singularity formation. Our results show in a precise way that MCF solutions become asymptotically rotationally symmetric near a neckpinch singularity"--Abstract.
Item Description: "May 2018, volume 253, number 1210 (fifth of 7 numbers)."
Carrier Form: v, 78 pages ; 26 cm.
Bibliography: Includes bibliographical references (page 78).
ISBN: 9781470428402
1470428407
Index Number: QA377
CLC: O175
Call Number: O175/Z637

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