182 citations · 1.5k across the 227 of their papers we have counts for
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An impact of stochastic dynamic boundary conditions on the evolution of the Cahn-Hilliard system
Desheng Yang, Jinqiao Duan
Nonlinear systems are often subject to random influences. Sometimes the noise enters the system through physical boundaries and this leads to stochastic dynamic boundary conditions…
Feedback stabilization for Oseen fluid equations:A stochastic approach
Jinqiao Duan, Andrei V. Fursikov
The authors consider stochastic aspects of the stabilization problem for two and three-dimensional Oseen equations with help of feedback control defined on a part of the fluid boun…
Invariant manifold reduction for stochastic dynamical systems
Aijun Du, Jinqiao Duan
Invariant manifolds facilitate the understanding of nonlinear stochastic dynamics. When an invariant manifold is represented approximately by a graph for example, the whole stochas…
Predictability of the Burgers dynamics under model uncertainty
Dirk Blömker, Jinqiao Duan
Complex systems may be subject to various uncertainties. A great effort has been concentrated on predicting the dynamics under uncertainty in initial conditions. In the present wor…
Stochastic parameterization for large eddy simulation of geophysical flows
Jinqiao Duan, Balasubramanya T. Nadiga
Recently, stochastic, as opposed to deterministic, parameterizations are being investigated to model the effects of unresolved subgrid scales (SGS) in large eddy simulations (LES)…
Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity
Chunyou Sun, Daomin Cao, Jinqiao Duan
The authors consider non-autonomous dynamical behavior of wave-type evolutionary equations with nonlinear damping and critical nonlinearity. These type of waves equations are formu…
A dynamical approximation for stochastic partial differential equations
Wei Wang, Jinqiao Duan
Random invariant manifolds often provide geometric structures for understanding stochastic dynamics. In this paper, a dynamical approximation estimate is derived for a class of sto…
Dynamics of the Thermohaline Circulation Under Uncertainty
Wei Wang, Jianhua Sun, Jinqiao Duan
The ocean thermohaline circulation under uncertainty is investigated by a random dynamical systems approach. It is shown that the asymptotic dynamics of the thermohaline circulatio…
Uniform attractors for non-autonomous wave equations with nonlinear damping
Chunyou Sun, Daomin Cao, Jinqiao Duan
We consider dynamical behavior of non-autonomous wave-type evolutionary equations with nonlinear damping, critical nonlinearity, and time-dependent external forcing which is transl…
Recurrent Motions in the Nonautonomous Navier-Stokes System
Vena Pearl Bongolan-Walsh, David Cheban, Jinqiao Duan
We prove the existence of recurrent or Poisson stable motions in the Navier-Stokes fluid system under recurrent or Poisson stable forcing, respectively. We use an approach based on…