An example of three dimensional fattening for linked space curves evolving by curvature

Giovanni Bellettini; Matteo Novaga; Maurizio Paolini

doi:10.1080/03605309808821392

An example of three dimensional fattening for linked space curves evolving by curvature

Giovanni Bellettini
, Matteo Novaga
, Maurizio Paolini

Risultato della ricerca: Contributo in rivista › Articolo › peer review

8 Citazioni (Scopus)

Abstract

We prove that two linked circles in R3 evolving by curvature develop three dimensional fattening at finite time. The same result holds for two planar convex closed linked curves.

Lingua originale	Inglese
pagine (da-a)	1475-1492
Numero di pagine	18
Rivista	Communications in Partial Differential Equations
DOI	https://doi.org/10.1080/03605309808821392
Stato di pubblicazione	Pubblicato - 1998

Keywords

codimension 2
mean curvature flow

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10.1080/03605309808821392

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title = "An example of three dimensional fattening for linked space curves evolving by curvature",

abstract = "We prove that two linked circles in R3 evolving by curvature develop three dimensional fattening at finite time. The same result holds for two planar convex closed linked curves.",

keywords = "codimension 2, mean curvature flow, codimension 2, mean curvature flow",

author = "Giovanni Bellettini and Matteo Novaga and Maurizio Paolini",

year = "1998",

doi = "10.1080/03605309808821392",

language = "English",

pages = "1475--1492",

journal = "Communications in Partial Differential Equations",

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AU - Bellettini, Giovanni

AU - Novaga, Matteo

AU - Paolini, Maurizio

PY - 1998

Y1 - 1998

N2 - We prove that two linked circles in R3 evolving by curvature develop three dimensional fattening at finite time. The same result holds for two planar convex closed linked curves.

AB - We prove that two linked circles in R3 evolving by curvature develop three dimensional fattening at finite time. The same result holds for two planar convex closed linked curves.

KW - codimension 2

KW - mean curvature flow

KW - codimension 2

KW - mean curvature flow

UR - http://hdl.handle.net/10807/20953

U2 - 10.1080/03605309808821392

DO - 10.1080/03605309808821392

M3 - Article

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SP - 1475

EP - 1492

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

ER -

An example of three dimensional fattening for linked space curves evolving by curvature

Abstract

Keywords

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