3 papers
math-ph2021
On distributions of velocity random fields in turbulent flows
Jiawei Li, Zhongmin Qian, Mingrui Zhou
The purpose of the present paper is to derive a partial differential equation (PDE) for the single-time single-point probability density function (PDF) of the velocity field of a t…
math.AP2021
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…
math.PR2019
Fluctuations of a nonlinear stochastic heat equation in dimensions three and higher
Yu Gu, Jiawei Li
We study the solution to a nonlinear stochastic heat equation in . The equation is driven by a Gaussian multiplicative noise that is white in time and smooth in space. For…