182 citations · 1.5k across the 227 of their papers we have counts for
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Predictability in Spatially Extended Systems with Model Uncertainty
Jinqiao Duan
Macroscopic models for spatially extended systems under random influences are often described by stochastic partial differential equations (SPDEs). Some techniques for understandin…
Stochastic Modeling of Unresolved Scales in Complex Systems
Jinqiao Duan
Model uncertainties and simulation uncertainties occur in mathematical modeling of multiscale complex systems, since some mechanisms or scales are not represented (i.e., "unresolve…
Predictability in Nonlinear Dynamical Systems with Model Uncertainty
Jinqiao Duan
Nonlinear systems with model uncertainty are often described by stochastic differential equations. Some techniques from random dynamical systems are discussed. They are relevant to…
Small probability events for two-layer geophysical flows under uncertainty
Aijun Du, Jinqiao Duan, Hongjun Gao
The stochastics two-layer quasi-geostrophic flow model is an intermediate system between the single-layer two dimensional barotropic flow model and the continuously stratified thre…
Random Chain Recurrent Sets for Random Dynamical Systems
Xiaopeng Chen, Jinqiao Duan
It is known by the Conley's theorem that the chain recurrent set of a deterministic flow on a compact metric space is the complement of the union of sets , wher…
General Matrix-Valued Inhomogeneous Linear Stochastic Differential Equations and Applications
Jinqiao Duan, Jia-an Yan
The expressions of solutions for general matrix-valued inhomogeneous linear stochastic differential equations are derived. This generalizes a result of Jaschke (2003) f…
An intermediate regime for exit phenomena driven by non-Gaussian Levy noises
Zhihui Yang, Jinqiao Duan
A dynamical system driven by non-Gaussian Lévy noises of small intensity is considered. The first exit time of solution orbits from a bounded neighborhood of an attracting equilibr…
Large deviations for the Boussinesq Equations under Random Influences
Jinqiao Duan, Annie Millet
A Boussinesq model for the Benard convection under random influences is considered as a system of stochastic partial differential equations. This is a coupled system of stochastic…