4 papers · 1 filter
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…