33 citations · 36 across the 3 of their papers we have counts for
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math.DG2015
The shrinking figure eight and other solitons for the curve diffusion flow
Maureen Edwards, Alexander Gerhardt-Bourke, James McCoy +2
In this article we investigate the dynamics of special solutions to the surface diffusion flow of idealised ribbons. This equation reduces to studying the curve diffusion flow for…
math.DG2012★ 3 cited
Global analysis of the generalised Helfrich flow of closed curves immersed in
Glen Wheeler
In this paper we consider the evolution of regular closed elastic curves immersed in . Equipping the ambient Euclidean space with a vector field $\ca:\R^n\rightarrow\R^n$…
math.DG2012★ 33 cited
Surface diffusion flow near spheres
Glen Wheeler
We consider closed immersed hypersurfaces evolving by surface diffusion flow, and perform an analysis based on local and global integral estimates. First we show that a properly im…