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20182025
most citedAveraging principle for two dimensional stochastic Navier-Stokes equations

4 citations · 8 across the 13 of their papers we have counts for

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math.PR2025

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,…

math.PR2025

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…

math.PR2025

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-…