78 citations · 372 across the 53 of their papers we have counts for
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Enhanced dissipation for stochastic Navier-Stokes equations with transport noise
Dejun Luo
The phenomenon of dissipation enhancement by transport noise is shown for stochastic 2D Navier-Stokes equations in velocity form. In the 3D case, suppression of blow-up is proved f…
Scaling Limit of Moderately Interacting Particle Systems with Singular Interaction and Environmental Noise
Shuchen Guo, Dejun Luo
We consider moderately interacting particle systems with singular interaction kernel and environmental noise. It is shown that the mollified empirical measures converge in strong n…
Regularization by transport noise for 3D MHD equations
Dejun Luo
We consider the problem of regularization by noise for the three dimensional magnetohydrodynamical (3D MHD) equations. It is shown that, in a suitable scaling limit, multiplicative…
Quantitative convergence rates for scaling limit of SPDEs with transport noise
Franco Flandoli, Lucio Galeati, Dejun Luo
We consider on the torus the scaling limit of stochastic 2D (inviscid) fluid dynamical equations with transport noise to deterministic viscous equations. Quantitative estimates on…
Mean field limit of point vortices with environmental noises to deterministic 2D Navier-Stokes equations
Franco Flandoli, Dejun Luo
We consider point vortex systems on the two dimensional torus perturbed by environmental noise. It is shown that, under a suitable scaling of the noises, weak limit points of the e…