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math.DG2015
Mean curvature flow of an entire graph evolving away from the heat flow
Gregory Drugan, Xuan Hien Nguyen
We present two initial graphs over the entire , for which the mean curvature flow behaves differently from the heat flow. In the first example, the two flo…
math.DG2015
Legendrian curve shortening flow in
Gregory Drugan, Weiyong He, Micah W. Warren
Motivated by Legendrian curve shortening flows in , we study the curve shortening flow of figure-eight curves in the plane. We show that, under some symmetry and cu…
math.DG2015★ 17 cited
Solitons for the inverse mean curvature flow
Gregory Drugan, Hojoo Lee, Glen Wheeler
We investigate self-similar solutions to the inverse mean curvature flow in Euclidean space. In the case of one dimensional planar solitons, we explicitly classify all homothetic s…