103 citations · 110 across the 7 of their papers we have counts for
12 papers
Lectures on Mean Curvature Flow and Related Equations
Tom Ilmanen
The aim in these lectures is to study singularity formation, nonuniqueness, and topological change in motion by mean curvature.
Singularities of Mean Curvature Flow of Surfaces
Tom Ilmanen
This paper proves that, at the first singular time for a smoothly immersed surface moving by mean curvature flow in a n-manifold, each tangent flow is given by a smooth, branched s…
Fattening in mean curvature flow
Tom Ilmanen, Brian White
For each , we prove existence of a compact, connected, smoothly embedded, genus- surface with the following property: under mean curvature flow, there is exactly o…
Notes on translating solitons for Mean Curvature Flow
David Hoffman, Tom Ilmanen, Francisco Martín +1
The purpose of these notes is to provide an introduction to those who want to learn more about translating solitons for the mean curvature flow in , particularly thos…
Graphical Translators for Mean Curvature Flow
David Hoffman, Tom Ilmanen, Francisco Martin +1
In this paper we provide a full classification of complete translating graphs in . We also construct two -parameter families of new examples of translating gra…
On short time existence for the planar network flow
Tom Ilmanen, André Neves, Felix Schulze
We prove the existence of the flow by curvature of regular planar networks starting from an initial network which is non-regular. The proof relies on a monotonicity formula for exp…