5 citations · 8 across the 6 of their papers we have counts for
8 papers
Twin Brownian particle method for the study of Oberbeck-Boussinesq fluid flows
Jiawei Li, Zhongmin Qian, Mingyu Xu
We establish stochastic functional integral representations for solutions of Oberbeck-Boussinesq equations in the form of McKean-Vlasov-type mean field equations, which can be used…
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…
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…
Fine properties of fractional Brownian motions on Wiener space
Jiawei Li, Zhongmin Qian
We study several important fine properties for the family of fractional Brownian motions with Hurst parameter under the -capacity on classical Wiener space introduced by…
Large deviation principle for fractional Brownian motion with respect to capacity
Jiawei Li, Zhongmin Qian
We show that fractional Brownian motion(fBM) defined via Volterra integral representation with Hurst parameter is a quasi-surely defined Wiener functional on cla…