74 citations · 267 across the 68 of their papers we have counts for
75 papers
Matrix Li-Yau-Hamilton estimates under Ricci Flow and parabolic frequency
Xiaolong Li, Qi S. Zhang
In this paper we prove matrix Li-Yau-Hamilton estimates for positive solutions to the heat equation and the backward conjugate heat equation, both coupled with the Ricci flow. We t…
Dimension reduction of axially symmetric Euler equations near maximal points off the axis
Qi S. Zhang
Let be a solution of the axially symmetric Euler equations (ASE) in a finite cylinder in . We show that suitable blow-up limits of possible velocity singularity a…
A Sharp Li-Yau gradient bound on Compact Manifolds
Qi S. Zhang
Let $(\M^n, g)$ be a dimensional, complete ( compact or noncompact) Riemannian manifold whose Ricci curvature is bounded from below by a constant . Let be a posit…
Smooth solutions to the heat equation which are nowhere analytic in time
Xin Yang, Chulan Zeng, Qi S. Zhang
The existence of smooth but nowhere analytic functions is well-known (du Bois-Reymond, Math. Ann., 21(1):109-117, 1883). However, smooth solutions to the heat equation are usually…
Global well-posedness for the nonlinear generalized parabolic Anderson model equation
Qi Zhang
We study the global existence of the singular nonlinear parabolic Anderson model equation on -dimensional tours . The method is based on paracontrolled distributio…
Bounded solutions to the axially symmetric Navier Stokes equation in a cusp region
Qi S. Zhang
A domain in that touches the axis at one point is found with the following property. For any initial value in a class, the axially symmetric Navier Stoke…