P. Daskalopoulos

most citedClassification of compact ancient solutions to the curve shortening flow

6 citations · 8 across the 3 of their papers we have counts for

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math.DG2008★ 6 cited

Classification of compact ancient solutions to the curve shortening flow

Panagiota Daskalopoulos, Richard Hamilton, Natasa Sesum

We consider an embedded convex ancient solution $Γ_{t}$ to the curve shortening flow in $R^{2}$ . We prove that there are only two possibilities: the family $Γ_{t}$ is either the…

math.DG2008

The harmonic mean curvature flow of nonconvex surfaces in $R^{3}$

Panagiota Daskalopoulos, Natasa Sesum

We consider a compact, star-shaped, mean convex hypersurface $Σ^{2} \subset R^{3}$ . We prove that in some cases the flow exists until it shrinks to a point in a spherical manne…

Classification of compact ancient solutions to the curve shortening flow

The harmonic mean curvature flow of nonconvex surfaces in R3

The harmonic mean curvature flow of nonconvex surfaces in $R^{3}$