Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow /

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Zhou, Gang (Mathematics professor) (Autor), Knopf, Dan, 1959- (Autor), Sigal, Israel Michael, 1945- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [2018]
Colección:Memoirs of the American Mathematical Society ; no. 1210.
Temas:
Evolution equations > Asymptotic theory.
Asymptotic expansions.
Curvature.
Singularities (Mathematics)
Développements asymptotiques.
Courbure.
Singularités (Mathématiques)
MATHEMATICS > Geometry > General.
Singularidades (Matemáticas)
Ecuaciones de evolución
Desarrollos asintóticos
Asymptotic expansions
Curvature
Evolution equations > Asymptotic theory
Acceso en línea:Texto completo
Descripción
Sumario: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.
Notas:"May 2018, volume 253, number 1210 (fifth of 7 numbers)."
Descripción Física:1 online resource (v, 78 pages)
Bibliografía:Includes bibliographical references (page 78).
ISBN:9781470444150
1470444151
ISSN:0065-9266 ;

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