7 papers
Mean-Field Stochastic PDEs: Well-posedness and Quantitative Dimension-Free Propagation of Chaos
Wei Hong, Wei Liu, Luhan Yang
This work investigates the mean-field stochastic PDEs involving a class of pseudo-monotone kernels. We first study the well-posedness -- in both the strong and weak sense -- within…
Stochastic PDEs with Generalized Coercivity: Global Well-Posedness and Finite Time Extinction
Wei Hong, Shihu Li, Wei Liu
This work investigates the global existence, uniqueness, and Feller property for stochastic partial differential equations under generalized coercivity conditions, particularly in…
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…
Asymptotics of Multi-Scale McKean--Vlasov Diffusions with Super-Linear Kernels: a Lifted Semigroup Approach
Wei Hong, Shanshan Hu, Wei Liu +1
In this work, we establish the small-noise asymptotic behaviour (namely, the functional law of large numbers and the large deviation principle) for multi-scale McKean--Vlasov diffu…
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…