74 citations · 267 across the 68 of their papers we have counts for
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A Liouville Theorem for the Axially-symmetric Navier-Stokes Equations
Zhen Lei, Qi S. Zhang
Let be a solution to the three-dimensional incompressible axially-symmetric Navier-Stokes equations. Denote by the radi…
Optimal Variational Principle for Backward Stochastic Control Systems Associated with Lévy Processes
Maoning Tang, Qi Zhang
The paper is concerned with optimal control of backward stochastic differential equation (BSDE) driven by Teugel's martingales and an independent multi-dimensional Brownian motion,…
Structure of Singularities of 3D Axi-symmetric Navier-Stokes Equations
Zhen Lei, Qi S. Zhang
Let be a solution of the axially symmetric Navier-Stokes equation. We determine the structure of certain (possible) maximal singularity of in the following sense. Let $(x_0…
The Conjugate Heat Equation and Ancient Solutions of the Ricci Flow
Xiaodong Cao, Qi S. Zhang
We prove Gaussian type bounds for the fundamental solution of the conjugate heat equation evolving under the Ricci flow. As a consequence, for dimension 4 and higher, we show that…
A General Construction to Stationary Weak Solutions of Parabolic SPDEs
Huinan Leng, Qi Zhang
In this paper we construct the stationary weak solutions of parabolic SPDEs by a general infinite horizon backward doubly stochastic differential equations (BDSDEs for short) with…