74 citations · 267 across the 68 of their papers we have counts for
26 papers · 1 filter
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…
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…
A formula for backward and control problems of the heat equation
Qi S Zhang
(a). Using time analyticity result, we address a basic question for a nonhomogeneous backward heat equation (exact control problem) in the setting of smooth domains and compact man…