Paper Info
Title
A nonlinear partial differential equation for the volume preserving mean curvature flow.
Abstract
We analyze the evolution of multi-dimensional normal graphs over the unit sphere under volume preserving mean curvature flow and derive a non-linear partial differential equation in polar coordinates. Furthermore, we construct finite difference numerical schemes and present numerical results for the evolution of non-convex closed plane curves under this flow, to observe that they become convex very fast.
Year
DOI
Venue
2013
10.3934/nhm.2013.8.9
NETWORKS AND HETEROGENEOUS MEDIA
Keywords
DocType
Volume
Nonlinear parabolic equations,geometric evolution equations,normal graphs,volume preserving mean curvature flow,numerics
Journal
8
Issue
ISSN
Citations 
SP1
1556-1801
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
D. C. Antonopoulou182.99
Georgia D. Karali222.25