3 papers
math.PR2024
On the pathwise uniqueness of stochastic 2D Euler equations with Kraichnan noise and -data
Shuaijie Jiao, Dejun Luo
In the recent work [arXiv:2308.03216], Coghi and Maurelli proved pathwise uniqueness of solutions to the vorticity form of stochastic 2D Euler equation, with Kraichnan transport no…
math.AP2023
Uniqueness of weak solutions to the limit resonant equation of 3D rotating Navier-Stokes equations
Dejun Luo
The limit resonant equation of the 3D rotating Navier-Stokes equations is obtained by taking large rotation limit. This equation has a nonlinear term with restricted interactions b…
math.PR2023
2D Smagorinsky type large eddy models as limits of stochastic PDEs
Franco Flandoli, Dejun Luo, Eliseo Luongo
We prove that a version of Smagorinsky Large Eddy model for a 2D fluid in vorticity form is the scaling limit of suitable stochastic models for large scales, where the influence of…