23 citations · 99 across the 56 of their papers we have counts for
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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…
Stochastic formulation of incompressible fluid flows in wall bounded regions
Zhongmin Qian
In this paper we establish a mathematical framework which may be used to design Monte-Carlo simulations for a class of time irreversible dynamic systems, such as incompressible flu…
Volatility forecasting with machine learning and intraday commonality
Chao Zhang, Yihuang Zhang, Mihai Cucuringu +1
We apply machine learning models to forecast intraday realized volatility (RV), by exploiting commonality in intraday volatility via pooling stock data together, and by incorporati…
Random vortex dynamics via functional stochastic differential equations
Zhongmin Qian, Endre Süli, Yihuang Zhang
In this paper we present a novel, closed three-dimensional (3D) random vortex dynamics system, which is equivalent to the Navier--Stokes equations for incompressible viscous fluid…