23 citations · 99 across the 56 of their papers we have counts for
58 papers
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…
Mean field equations arising from random vortex dynamics
Jiawei Li, Zhongmin Qian
We consider Mckean-Vlasov type stochastic differential equations with multiplicative noise arising from the random vortex method. Such an equation can be viewed as the mean-field l…
Dirac operators and field equations of the gravitational field and matter fields
Zhongmin Qian
Dirac operators on curved space-times are introduced with the help of a new point-view that observers have to be included in the formulation of natural laws. The class of Dirac ope…
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…
Entropy Estimate for Degenerate SDEs with Applications to Nonlinear Kinetic Fokker-Planck Equations
Zhongmin Qian, Panpan Ren, Feng-Yu Wang
The relative entropy for two different degenerate diffusion processes is estimated by using the Wasserstein distance of initial distributions and the difference between coefficient…