7 citations · 15 across the 16 of their papers we have counts for
17 papers · 1 filter
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…
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…
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…
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 Deviation Principle for Multi-Scale Fully Local Monotone Stochastic Dynamical Systems with Multiplicative Noise
Wei Hong, Wei Liu, Luhan Yang
This paper is devoted to proving the small noise asymptotic behaviour, particularly large deviation principle, for multi-scale stochastic dynamical systems with fully local monoton…
McKean-Vlasov Stochastic Partial Differential Equations: Existence, Uniqueness and Propagation of Chaos
Wei Hong, Shihu Li, Wei Liu
In this paper, we provide a general framework for investigating McKean-Vlasov stochastic partial differential equations. We first show the existence of weak solutions by combining…
Multi-Scale McKean-Vlasov SDEs: Moderate Deviation Principle in Different Regimes
Wei Hong, Ge Li, Shihu Li
The main aim of this paper is to study the moderate deviation principle for McKean-Vlasov stochastic differential equations with multiple scales. Specifically, we are interested in…
Diffusion Approximation for Multi-Scale McKean-Vlasov SDEs Through Different Methods
Wei Hong, Shihu Li, Xiaobin Sun
In this paper, we aim to study the diffusion approximation for multi-scale McKean-Vlasov stochastic differential equations. More precisely, we prove the weak convergence of slow pr…
McKean-Vlasov SDE and SPDE with Locally Monotone Coefficients
Wei Hong, Shanshan Hu, Wei Liu
In this paper we mainly investigate the strong and weak well-posedness of a class of McKean-Vlasov stochastic (partial) differential equations. The main existence and uniqueness re…
Central Limit Type Theorem and Large Deviation Principle for Multi-Scale McKean-Vlasov SDEs
Wei Hong, Shihu Li, Wei Liu +1
In this paper, we aim to study the asymptotic behavior for multi-scale McKean-Vlasov stochastic dynamical systems. Firstly, we obtain a central limit type theorem, i.e, the deviati…
Strong Convergence Rates in Averaging Principle for Slow-Fast McKean-Vlasov SPDEs
Wei Hong, Shihu Li, Wei Liu
In this paper, we aim to study the asymptotic behaviour for a class of McKean-Vlasov stochastic partial differential equations with slow and fast time-scales. Using the variational…
Large Deviation Principle for McKean-Vlasov Quasilinear Stochastic Evolution Equations
Wei Hong, Shihu Li, Wei Liu
This paper is devoted to investigating the Freidlin-Wentzell's large deviation principle for a class of McKean-Vlasov quasilinear SPDEs perturbed by small multiplicative noise. We…
Distribution Dependent Stochastic Porous Media Equations
Jingyue Gao, Wei Hong, Wei Liu
Using the generalized variational framework, the strong/weak existence and uniqueness of solutions are derived for a class of distribution dependent stochastic porous media equatio…
Freidlin-Wentzell Type Large Deviation Principle for Multi-Scale Locally Monotone SPDEs
Wei Hong, Shihu Li, Wei Liu
This work is concerned with Freidlin-Wentzell type large deviation principle for a family of multi-scale quasilinear and semilinear stochastic partial differential equations. Emplo…