Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow

Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow
Author :
Publisher : American Mathematical Soc.
Total Pages : 90
Release :
ISBN-10 : 9781470428402
ISBN-13 : 1470428407
Rating : 4/5 (02 Downloads)

Book Synopsis Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow by : Zhou Gang

Download or read book Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow written by Zhou Gang and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow Related Books

Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow
Language: en
Pages: 90
Authors: Zhou Gang
Categories: Mathematics
Type: BOOK - Published: 2018-05-29 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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
The Ricci Flow: Techniques and Applications
Language: en
Pages: 397
Authors: Bennett Chow
Categories: Mathematics
Type: BOOK - Published: 2015-10-19 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Ricci flow is a powerful technique using a heat-type equation to deform Riemannian metrics on manifolds to better metrics in the search for geometric decomposit
Cluster Algebras and Triangulated Surfaces Part II: Lambda Lengths
Language: en
Pages: 110
Authors: Sergey Fomin
Categories: Mathematics
Type: BOOK - Published: 2018-10-03 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

For any cluster algebra whose underlying combinatorial data can be encoded by a bordered surface with marked points, the authors construct a geometric realizati
Global Regularity for 2D Water Waves with Surface Tension
Language: en
Pages: 136
Authors: Alexandru D. Ionescu
Categories: Mathematics
Type: BOOK - Published: 2019-01-08 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The authors consider the full irrotational water waves system with surface tension and no gravity in dimension two (the capillary waves system), and prove globa
Automorphisms ofTwo-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane
Language: en
Pages: 92
Authors: William Goldman
Categories: Mathematics
Type: BOOK - Published: 2019-06-10 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The automorphisms of a two-generator free group F acting on the space of orientation-preserving isometric actions of F on hyperbolic 3-space defines a dynamical