182 citations · 1.5k across the 227 of their papers we have counts for
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Exponential stability of non-autonomous stochastic partial differential equations with finite memory
Li Wan, Jinqiao Duan
The exponential stability, in both mean square and almost sure senses, for energy solutions to a class of nonlinear and non-autonomous stochastic PDEs with finite memory is investi…
Effective macroscopic dynamics of stochastic partial differential equations in perforated domains
Wei Wang, Daomin Cao, Jinqiao Duan
An effective macroscopic model for a stochastic microscopic system is derived. The original microscopic system is modeled by a stochastic partial differential equation defined on a…
Homogenized dynamics of stochastic partial differential equations with dynamical boundary conditions
Wei Wang, Jinqiao Duan
A microscopic heterogeneous system under random influence is considered. The randomness enters the system at physical boundary of small scale obstacles as well as at the interior o…
Reductions and deviations for stochastic partial differential equations under fast dynamical boundary conditions
Wei Wang, Jinqiao Duan
In order to understand the impact of random influences at physical boundary on the evolution of multiscale systems, a stochastic partial differential equation model under a fast ra…