5 citations · 8 across the 6 of their papers we have counts for
4 papers · 1 filter
Tail bounds for sums of independent two-sided exponential random variables
Jiawei Li, Tomasz Tkocz
We establish upper and lower bounds with matching leading terms for tails of weighted sums of two-sided exponential random variables. This extends Janson's recent results for one-s…
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…
On the transport equation for probability density functions of turbulent vorticity fields
Jiawei Li, Zhongmin Qian, Mingrui Zhou
The vorticity random field of turbulent flow is singled out as the main dynamical variable for the description of turbulence, and the evolution equation of the probability density…
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…