33 citations · 181 across the 33 of their papers we have counts for
4 papers · 1 filter
The -elastic flow for planar closed curves with constant parametrization
Shinya Okabe, Glen Wheeler
In this paper, we consider the -gradient flow for the modified -elastic energy defined on planar closed curves. We formulate a notion of weak solution for the flow and prov…
On an inverse curvature flow in two-dimensional space forms
Kwok-Kun Kwong, Yong Wei, Glen Wheeler +1
We study the evolution of compact convex curves in two-dimensional space forms. The normal speed is given by the difference of the weighted inverse curvature with the support funct…
On the -gradient flow for the length functional
Philip Schrader, Glen Wheeler, Valentina-Mira Wheeler
In this article we consider the length functional defined on the space of immersed planar curves. The Riemannian metric gives rise to the curve shortening flow as the gra…
The gradient flow for entropy on closed planar curves
Lachlann O'Donnell, Glen Wheeler, Valentina-Mira Wheeler
In this paper we consider the steepest descent L2-gradient flow of the entropy functional. The flow expands convex curves, with the radius of an initial circle growing like the squ…