23 citations · 99 across the 56 of their papers we have counts for
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High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations
Weiquan Chen, Zhongmin Qian, Shuai Xi
We discuss an interesting distinction between the incompressible Navier-Stokes equations (the velocity equations) and its vorticity form in whole space. We show that if the initial…
Global-in-time convergence from bipolar Euler-Poisson equations to unipolar ones
Zhongmin Qian, Liang Zhao, Shengguo Zhu
In this paper, the Cauchy problem for the multi-dimensional (M-D) bipolar Euler-Poisson equations with far field vacuum is considered. Based on physical observations and some elabo…
On vorticity and expansion-rate of fluid flows, conditional law duality and their representations
Zhongmin Qian, Zihao Shen
By using a formulation of motion equations for a viscous (compressible) fluid flow in terms of the vorticity and the rate of expansion as the main fluid dynamical variables, an app…
New Approach for Vorticity Estimates of Solutions of the Navier-Stokes Equations
Gui-Qiang G. Chen, Zhongmin Qian
We develop a new approach for regularity estimates, especially vorticity estimates, of solutions of the three-dimensional Navier-Stokes equations with periodic initial data, by exp…
The vortex dynamics in incompressible viscous turbulent flows
Jiawei Li, Zhongmin Qian
In this paper, we consider turbulence from a geometric perspective based on the vorticity equations for incompressible viscous fluid flows. We derive several quantitative statement…
Vorticity, Helicity, Intrinsinc geometry for Navier-Stokes equations
Shizan Fang, Zhongmin Qian
We will consider the Navier-Stokes equation on a Riemannian manifold M with Ricci tensor bounded below, the involved Laplacian operator is De Rham-Hodge Laplacian. The novelty of t…