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.
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 |
Similar Items
-
Self-similar solutions to the mean curvature flow in Euclidean and Minkowski space
by: Halldórsson, Höskuldur Pétur
Published: (2014) -
Helicoidal surfaces rotating/translating under the mean curvature flow
by: Halldorsson, Hoeskuldur Petur
Published: (2016) -
Exterior Dirichlet Problem for Translating Solutions of Gauss Curvature Flow in Minkowski Space
by: Hongjie Ju
Published: (2014-01-01) -
Self-similar solutions and translating solitons for Lagrangian mean
curvature flow
by: Joyce, D, et al.
Published: (2010) -
Nodal Solutions for Problems with Mean Curvature Operator in Minkowski Space with Nonlinearity Jumping Only at the Origin
by: Wenguo Shen
Published: (2020-01-01)