4 citations · 8 across the 13 of their papers we have counts for
14 papers
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…
McKean-Vlasov SPDEs driven by Poisson random measure: Well-posedness and large deviation principle
Yuhang Jiang, Jinming Li, Shihu Li
In this work, we investigate the McKean-Vlasov stochastic partial differential equations driven by Poisson random measure. By adapting the variational framework, we prove the well-…
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…
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…
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…
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…
Small Time Asymptotics for SPDEs with Locally Monotone Coefficients
Shihu Li, Wei Liu, Yingchao Xie
This work aims to prove the small time large deviation principle (LDP) for a class of stochastic partial differential equations (SPDEs) with locally monotone coefficients in genera…
Averaging principle for two dimensional stochastic Navier-Stokes equations
Shihu Li, Xiaobin Sun, Yingchao Xie +1
The averaging principle is established for the slow component and the fast component being two dimensional stochastic Navier-Stokes equations and stochastic reaction-diffusion equa…
Stochastic 3D Leray- Model with Fractional Dissipation
Shihu Li, Wei Liu, Yingchao Xie
In this paper, we establish the global well-posedness of stochastic 3D Leray- model with general fractional dissipation driven by multiplicative noise. This model is the stochas…