132 citations · 333 across the 32 of their papers we have counts for
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Fractional Fokker--Planck Equation for Nonlinear Stochastic Differential Equations Driven by Non-Gaussian Levy Stable Noises
D. Schertzer, M. Larchev, J. Duan +2
The Fokker-Planck equation has been very useful for studying dynamic behavior of stochastic differential equations driven by Gaussian noises. In this paper, we derive a Fractional…
Invariant manifolds for stochastic partial differential equations
Jinqiao Duan, Kening Lu, Bjoern Schmalfuss
Invariant manifolds provide the geometric structures for describing and understanding dynamics of nonlinear systems. The theory of invariant manifolds for both finite and infinite…
Almost Periodic Solutions and Global Attractors of Non-autonomous Navier-Stokes Equations
David Cheban, Jinqiao Duan
The article is devoted to the study of non-autonomous Navier-Stokes equations. First, the authors have proved that such systems admit compact global attractors. This problem is for…
Generalization of the Second Bogolyubov's Theorem for Non-Almost Periodic Systems
David N. Cheban, Jinqiao Duan, Anatoly Gherco
The article is devoted to the generalization of the second Bogolyubov's theorem to non-almost periodic dynamical systems. We prove the analog of the second Bogolyubov's theorem for…
Exponential Stability Of The Quasigeostrophic Equation Under Random Perturbations
Jinqiao Duan, Peter E. Kloeden, Bjorn Schmalfuss
he quasigeostrophic model describes large scale and relatively slow fluid motion in geophysical flows. We investigate the quasigeostrophic model under random forcing and random bou…
Stochastic Dynamics of a Coupled Atmosphere--Ocean Model
J. Duan, H. Gao, B. Schmalfuss
The investigation of the coupled atmosphere-ocean system is not only scientifically challenging but also practically important. We consider a coupled atmosphere-ocean model, which…