68 citations · 234 across the 39 of their papers we have counts for
5 papers · 1 filter
Blow-up rate of the mean curvature during the mean curvature flow and a gap theorem for self-shrinkers
Nam Q. Le, Natasa Sesum
In this paper, we prove that the mean curvature blows up at the same rate as the second fundamental form at the first singular time of any compact, Type I mean curvature flow.…
On the second inner variation of the Allen-Cahn Functional and its applications
Nam Q. Le
In this paper, we study the relation between the second inner variations of the Allen-Cahn functional and its Gamma-limit, the area functional. Our result implies that the Allen-Ca…
Remarks on curvature behavior at the first singular time of the Ricci flow
Nam Q. Le, Natasa Sesum
In this paper, we study curvature behavior at the first singular time of solution to the Ricci flow on a smooth, compact n-dimensional Riemannian manifold , $\frac{\partial}{\pa…
Blow up of subcritical quantities at the first singular time of the mean curvature flow
Nam Q. Le
Consider a family of smooth immersions of closed hypersurfaces in moving by the mean curvature flow $\frac{\partial F(p,t)}…
The mean curvature at the first singular time of the mean curvature flow
Nam Le, Natasa Sesum
Consider a family of smooth immersions of closed hypersurfaces in moving by the mean curvature flow $\frac{\partial F(p,t)}…