33 citations · 181 across the 33 of their papers we have counts for
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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 $\ca:\R^n\rightarrow\R^n$…
Lifespan theorem for constrained surface diffusion flows
James McCoy, Glen Wheeler, Graham Williams
We consider closed immersed hypersurfaces in and evolving by a class of constrained surface diffusion flows. Our result, similar to earlier results for the Willmore…
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…
Finite time singularities for the locally constrained Willmore flow of surfaces
James McCoy, Glen Wheeler
In this paper we study the steepest descent -gradient flow of the functional $\SW_{λ_1,λ_2}$, which is the the sum of the Willmore energy, -weighted surface area, and $λ_…
A classification theorem for Helfrich surfaces
James McCoy, Glen Wheeler
In this paper we study the functional $\SW_{λ_1,λ_2}$, which is the the sum of the Willmore energy, -weighted surface area, and -weighted volume, for surfaces immersed in…
On the curve diffusion flow of closed plane curves
Glen Wheeler
In this paper we consider the steepest descent -gradient flow of the length functional for immersed plane curves, known as the curve diffusion flow. It is known that under…
Lifespan theorem for simple constrained surface diffusion flows
Glen Wheeler
We consider closed immersed hypersurfaces in and evolving by a special class of constrained surface diffusion flows. This class of constrained flows includes the clas…