7 citations · 15 across the 16 of their papers we have counts for
4 papers · 1 filter
Stochastic Forced 3D Navier-Stokes Equations in -Space
Wei Hong, Shihu Li, Wei Liu
In the classical work [FK], Fujita and Kato established the local existence of solutions to the 3D Navier-Stokes equations in the critical -space. In this paper,…
Mean Field Stochastic Partial Differential Equations with Nonlinear Kernels
Wei Hong, Shihu Li, Wei Liu
This work focuses on the mean field stochastic partial differential equations with nonlinear kernels. We first prove the existence and uniqueness of strong and weak solutions for m…
Generalized Yosida Approximation and Multi-Valued Stochastic Evolution Inclusions
Wujing Fan, Wei Hong, Wei Liu
In this paper, we generalize the classical Yosida approximation by utilizing a nonstandard duality mapping to establish the existence and uniqueness of both (probabilistically) wea…
Large Deviations for Slow-Fast Mean-Field Diffusions
Wei Hong, Wei Liu, Shiyuan Yang
The aim of this paper is to investigate the large deviations for a class of slow-fast mean-field diffusions, which extends some existing results to the case where the laws of fast…