74 citations · 267 across the 68 of their papers we have counts for
4 papers · 2 filters
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…
A Review of results on axially symmetric Navier-Stokes equations, with addendum by X. Pan and Q. S. Zhang
Qi S. Zhang
In this paper, we give a brief survey of recent results on axially symmetric Navier-Stokes equations (ASNS) in the following categories: regularity criterion, Liouville property fo…