Dejun Luo

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math.PR2025

Edwards-Wilkinson limit for a stochastic advection-diffusion PDE

Sotirios Kotitsas, Dejun Luo, Mario Maurelli

We consider a diffusion in a Gaussian random environment that is white in time and study the large-scale behavior of the quenched density with respect to the Lebesgue measure. We s…

math.PR2025

Eddy viscosity by Lévy transport noises

Dejun Luo, Feifan Teng

We consider stochastic linear transport equations in dimension $d \geq 2$ and stochastic 2D Euler equations with $L^{2}$ -initial condition, both driven by Lévy transport noise in the…

math.PR2024

Quantitative estimates for SPDEs on the full space with transport noise and $L^{p}$ -initial data

Dejun Luo, Bin Xie, Guohuan Zhao

For the stochastic linear transport equation with $L^{p}$ -initial data ( $1 < p < 2$ ) on the full space $R^{d}$ , we provide quantitative estimates, in negative Sobolev norms, betwe…

math.PR2024

An elementary approach to mixing and dissipation enhancement by transport noise

Dejun Luo, Bin Tang, Guohuan Zhao

We investigate the mixing properties of solutions to the stochastic transport equation $d u = \circ d W \cdot \nabla u$ , where the driving noise $W (t, x)$ is white in time, colored an…

Edwards-Wilkinson limit for a stochastic advection-diffusion PDE

Eddy viscosity by Lévy transport noises

Quantitative estimates for SPDEs on the full space with transport noise and Lp-initial data

An elementary approach to mixing and dissipation enhancement by transport noise

Quantitative estimates for SPDEs on the full space with transport noise and $L^{p}$ -initial data