Curvature motion in time-dependent Minkowski planes

V. Balestro, Curvature motion in time-dependent Minkowski planes, International Electronic Journal of Geometry 8(2), pp. 70-81, 2015. (arXiv link) (journal link)

Comments: This paper studies curvature motions in planes whose norm is varying with the time. In other words, the motion of the curve is ruled at each time by a different norm. Evolution formulas and existence results are obtained. As a corollary of our results, we show that the solutions of a certain family of parabolic nonlinear PDE’s have a uniform blow up time (for some of its derivatives).