3 papers
math.AP2026
A Differential Harnack Inequality for the FitzHugh-Nagumo Equation
Xiaodong Cao, Harry Fluck, Sophia Teng
In this paper we develop a Li-Yau-Hamilton (LYH) type differential Harnack estimate for positive solutions to the FitzHugh-Nagumo equation on . We then use our LYH-di…
math.DG2025
An -Regularity Theorem for Non-collapsed Ricci Flow
Harry Fluck, Max Hallgren
In this article we prove an -regularity theorem for non-collapsed Ricci flows, and use this to prove new estimates for singularity models of Fano Kähler-Ricci flows. In the cour…
math.DG2023
The curvature operator of the second kind in dimension three
Harry Fluck, Xiaolong Li
This article aims to understand the behavior of the curvature operator of the second kind under the Ricci flow in dimension three. First, we express the eigenvalues of the curvatur…