Guangyu Xi

activity

20162020

most citedParabolic equations with singular divergence-free drift vector fields

13 citations · 15 across the 7 of their papers we have counts for

collaborators

Showing math.PRShow all

3 papers · 1 filter

math.PR2020

Incompressible viscous fluids in $R^{2}$ and SPDEs on graphs, in presence of fast advection and non smooth noise

Sandra Cerrai, Guangyu Xi

The asymptotic behavior of a class of stochastic reaction-diffusion-advection equations in the plane is studied. We show that as the divergence-free advection term becomes larger a…

math.PR2019

On a maximal inequality and its application to SDEs with singular drift

Xuan Liu, Guangyu Xi

In this paper we present a Doob type maximal inequality for stochastic processes satisfying the conditional increment control condition. If we assume, in addition, that the margins…

math.PR2017

Markov semi-groups generated by elliptic operators with divergence-free drift

Zhongmin Qian, Guangyu Xi

In this paper we construct a conservative Markov semi-group with generator $L = Δ + b \cdot \nabla$ on $R^{n}$ , where $b$ is a divergence-free vector field which belongs to $L^{2}…

Incompressible viscous fluids in R2 and SPDEs on graphs, in presence of fast advection and non smooth noise

On a maximal inequality and its application to SDEs with singular drift

Markov semi-groups generated by elliptic operators with divergence-free drift

Incompressible viscous fluids in $R^{2}$ and SPDEs on graphs, in presence of fast advection and non smooth noise