Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow

Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow / Gang Zhou, 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, an...

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Bibliographic Details
Main Authors: Zhou, Gang (Mathematics professor) (Author), Knopf, Dan, 1959- (Author), Sigal, Israel Michael, 1945- (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2018]
Series:Memoirs of the American Mathematical Society ; no. 1210.
Subjects:
Evolution equations > Asymptotic theory.
Asymptotic expansions.
Curvature.
Singularities (Mathematics)
MATHEMATICS > Geometry > General.
Singularidades (Matemáticas)
Ecuaciones de evolución
Desarrollos asintóticos
Asymptotic expansions
Curvature
Evolution equations > Asymptotic theory
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