Philip Schrader

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20132026

most citedConvergence of Sobolev gradient trajectories to elastica

1 citations · 1 across the 5 of their papers we have counts for

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math.AP2021★ 1 cited

Convergence of Sobolev gradient trajectories to elastica

Shinya Okabe, Philip Schrader

In this paper we study the $H^{2} (d s)$ -gradient flow for the modified elastic energy defined on closed curves in $R^{n}$ . We prove the existence of a unique global-in-time sol…

math.DG2021

On the $H^{1} (d s)$ -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 $L^{2} (d s)$ Riemannian metric gives rise to the curve shortening flow as the gra…

Convergence of Sobolev gradient trajectories to elastica

On the H1(ds)-gradient flow for the length functional

On the $H^{1} (d s)$ -gradient flow for the length functional