1 citations · 1 across the 6 of their papers we have counts for
11 papers
Allard Regularity for Abelian Yang--Mills--Higgs Equation
Huy The Nguyen, Shengwen Wang
We study solutions to the self-dual Abelian Yang--Mills--Higgs (YMH) equations in the singular limit $\e \to 0 $, where the associated self-dual Ginzburg--Landau type energy \begin…
High Codimension Curve Shortening Flow with Free Boundary
Huy The Nguyen, Artemis A. Vogiatzi
We study curve shortening flow in high codimension for arcs with free boundary meeting a fixed smooth barrier orthogonally. We prove dilation-invariant curvature and higher-derivat…
Quadratically pinched submanifolds of the sphere via mean curvature flow with surgery
Mat Langford, Stephen Lynch, Huy The Nguyen
We study mean curvature flow of -dimensional submanifolds of , the round -sphere of sectional curvature , under the quadratic curvature pinching con…
Brakke Regularity for the Allen-Cahn Flow
Huy The Nguyen, Shengwen Wang
In this paper we prove an analogue of the Brakke's -regularity theorem for the parabolic Allen-Cahn equation. In particular, we show uniform regularity for t…
Sharp pinching estimates for mean curvature flow in the sphere
Mat Langford, Huy The Nguyen
We prove a suite of asymptotically sharp quadratic curvature pinching estimates for mean curvature flow in the sphere which generalize Simons' rigidity theorem for minimal hypersur…
Quadratically pinched hypersurfaces of the sphere via mean curvature flow with surgery
Mat Langford, Huy The Nguyen
We study mean curvature flow in , the round sphere of sectional curvature , under the quadratic curvature pinching condition $|A|^{2} < \frac{1}{n-2} H^{2}…