Curvature Motion in Time-dependent Minkowski Planes
Differential Geometry
2016-01-27 v1
Abstract
In this paper we study a flow by minkowskian curvature where we have a different Minkowski plane at each time. We derive some evolution formulas, present sufficient hypotesis for the short time existence and convexity of solutions and study the motion considering a particular type of families of Minkowski norms. Also, as a corollary we establish a result about a certain family of nonlinear parabolic PDE's.
Cite
@article{arxiv.1410.3809,
title = {Curvature Motion in Time-dependent Minkowski Planes},
author = {Vitor Balestro},
journal= {arXiv preprint arXiv:1410.3809},
year = {2016}
}
Comments
9 pages