Self-similar solutions to the mean curvature flow in the Minkowski plane ℝ[superscript 1,1]

We introduce the mean curvature flow of curves in the Minkowski plane ℝ[superscript 1,1] and give a classification of all the self-similar solutions. In addition, we describe five other exact solutions to the flow.

Bibliographic Details
Main Author: Halldorsson, Hoeskuldur Petur
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Walter de Gruyter 2017
Online Access:http://hdl.handle.net/1721.1/109063