Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow - Couverture souple

Zhou, Gang; Knopf, Dan; Sigal, Israel Michael

Couverture souple

ISBN 10 : 1470428407 ISBN 13 : 9781470428402

Editeur : American Mathematical Society, 2018

Synopsis

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.

A propos du livre

À propos de l'auteur

Gang Zhou, California Institute of Technology, Pasadena, California.

Dan Knopf, University of Texas at Austin, Texas.

Israel Michael Sigal, University of Toronto, Ontario, Canada.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1470428407
• ISBN 13: 9781470428402
• Reliure: Broché
• Nombre de pages: 78
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible