SMS scnews item created by Daniel Daners at Fri 11 Apr 2014 0918
Type: Seminar
Distribution: World
Expiry: 14 Apr 2014
Calendar1: 14 Apr 2014 1400-1500
CalLoc1: AGR Carslaw 829
Auth: daners@como.maths.usyd.edu.au

PDE Seminar

Curvature contraction of convex hypersurfaces

McCoy

James McCoy
University of Wollongong
14 April 2014 14:00-15:00, Carslaw Room 829 (AGR)

Abstract

Convex hypersurfaces contracting by their curvature have been of widespread mathematical interest since Huisken’s seminal work on the mean curvature flow in 1984. This flow and others were introduced in the 1950s as models for the annealing process in metals; curvature flows more generally have various other practical applications as well as applications in topological classification of hypersurfaces. I will discuss some old and new results for fully nonlinear curvature contraction flow of convex hypersurfaces, considering in particular cases of self-similar solutions, flat sides and non-smooth initial data and speeds.

Check also the PDE Seminar page. Enquiries to Daniel Hauer or Daniel Daners.