55 citations · 71 across the 27 of their papers we have counts for
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Singularity formation in axially symmetric mean curvature flow with Neumann boundary
John Head, Sevvandi Kandanaarachchi
We study mean curvature flow of smooth, axially symmetric surfaces in with Neumann boundary data. We show that all singularities at the first singular time must be o…
On the extension of axially symmetric volume flow and mean curvature flow
John Head, Sevvandi Kandanaarachchi
We study the provenance of singularity formation under mean curvature flow and volume preserving mean curvature flow in an axially symmetric setting. We prove that if the mean curv…
Singularities of Axially Symmetric Volume Preserving Mean Curvature Flow
Maria Athanassenas, Sevvandi Kandanaarachchi
We investigate the formation of singularities for surfaces evolving by volume preserving mean curvature flow. For axially symmetric flows - surfaces of revolution - in $\mathbb{R}^…
On the Convergence of Axially Symmetric Volume Preserving Mean Curvature Flow
Maria Athanassenas, Sevvandi Kandanaarachchi
We study the convergence of an axially symmetric hypersurface evolving by volume preserving mean curvature flow. Assuming the surface is not pinching off along the axis at any time…