Details
Title | Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow |
---|---|
Creators | Zhou Gang; Knopf Dan; Sigal Israel Michael |
Organization | American mathematical society |
Imprint | Providence, Rhode Island: AMS, 2018 |
Collection | Электронные книги зарубежных издательств; Общая коллекция |
Subjects | Математика; Геометрия; mathematics; geometry |
UDC | 51; 514 |
Document type | Other |
File type | Other |
Language | English |
Rights | Доступ по паролю из сети Интернет (чтение, печать) |
Record key | RU\SPSTU\edoc\60566 |
Record create date | 2/13/2019 |
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.
Access count: 18
Last 30 days: 0