SMS scnews item created by Zhou Zhang at Sun 20 Apr 2014 2227
Type: Seminar
Distribution: World
Expiry: 18 May 2014
Calendar1: 29 Apr 2014 1200-1300
CalLoc1: Carslaw 535A
Auth: zhangou@101.164.121.134 (zhouz) in SMS-WASM

# GTA Seminar : Wheeler -- Some Free Boundary Value Problems in Mean Curvature Flow and Fully Nonlinear Curvature Flows

Speaker: Dr. Valentina-Mira Wheeler (Wollongong)

https://ris.uow.edu.au/ris_public/WebObjects/RISPublic.woa/wa/Staff/selectPerson?id=84160&group=3944

Time: Tuesday, April 29, 12NOON--1PM.

Room: Carslaw 535A.

Lunch: seminar lunch is right after the talk.

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Title: Some Free Boundary Value Problems in Mean Curvature Flow
and Fully Nonlinear Curvature Flows

Abstract: in this talk we present an overview of the current research
in mean curvature flow and fully nonlinear curvature flows with free
boundaries, with particular focus on our own results. Firstly we
consider the scenario of a mean curvature flow solution with a
ninety-degree angle condition on a fixed hypersurface in Euclidean
space, that we call  the contact hypersurface. We prove that under
restrictions on either the initial hypersurface (such as rotational
symmetry) or restrictions on the contact hypersurface the flow exists
for all times and converges to a self-similar solution. We also discuss
the possibility of a curvature singularity appearing on the free boundary
contained in the contact hypersurface. We extend some of these results
to the setting of a hypersurface evolving in its normal direction with
speed given by a fully nonlinear functional of the principal curvatures.

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Seminar website:

http://www.maths.usyd.edu.au/u/SemConf/Geometry/


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