Self-similar solutions to the mean curvature flow in the Minkowski plane ${\mathbf{R}}^{1,1}$

Abstract

We introduce the mean curvature flow of curves in the Minkowski plane ${\mathbf{R}}^{1,1}$ and give a classification of all the self-similar solutions. In addition, we describe five other exact solutions to the flow.

31 pages, 38 figures. Two exact solutions added from previous version

References in corpus (1)

• Entire spacelike translating solitons in Minkowski space

Cited by in corpus (1)

• Some results on space-like self-shrinkers