33 citations · 181 across the 33 of their papers we have counts for
5 papers · 1 filter
A sixth order flow of plane curves with boundary conditions
James McCoy, Glen Wheeler, Yuhan Wu
We show that small energy curves under a particular sixth order curvature flow with generalised Neumann boundary conditions between parallel lines converge exponentially in the smo…
The anisotropic polyharmonic curve flow for closed plane curves
Scott Parkins, Glen Wheeler
We study the curve diffusion flow for closed curves immersed in the Minkowski plane , which is equivalent to the Euclidean plane endowed with a closed, symmetric, conv…
Concentration-compactness and finite-time singularities for Chen's flow
Yann Bernard, Glen Wheeler, Valentina-Mira Wheeler
Chen's flow is a fourth-order curvature flow motivated by the spectral decomposition of immersions, a program classically pushed by B.-Y. Chen since the 1970s. In curvature flow te…
Curve diffusion and straightening flows on parallel lines
Glen Wheeler, Valentina-Mira Wheeler
In this paper, we study families of immersed curves with free boundary supported on parallel lines $\{η_1, η_2\}:\mathbb{R}\rightarrow\…
Minimal hypersurfaces in the ball with free boundary
Glen Wheeler, Valentina-Mira Wheeler
In this note we use the strong maximum principle and integral estimates prove two results on minimal hypersurfaces with free boundary on the stan…