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: [email protected]

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.

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