182 citations · 1.5k across the 227 of their papers we have counts for
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Asymptotic Dynamical Difference between the Nonlocal and Local Swift-Hohenberg Models
Guoguang Lin, Hongjun Gao, Jinqiao Duan +1
In this paper the difference in the asymptotic dynamics between the nonlocal and local two-dimensional Swift-Hohenberg models is investigated. It is shown that the bounds for the d…
Trajectory and Attractor Convergence for a Nonlocal Kuramoto-Sivashinsky Equation
Jinqiao Duan, Vincent Ervin, Hongjun Gao
The nonlocal Kuramoto-Sivashinsky equation arises in the modeling of the flow of a thin film of viscous liquid falling down an inclined plane, subject to an applied electric field.…
Dynamics of a Nonlocal Kuramoto-Sivashinsky Equation
Jinqiao Duan, Vincent Ervin
In this paper we study the effects of a ``nonlocal'' term on the global dynamics of the Kuramoto-Sivashinsky equation. We show that the equation possesses a ``family of maximal att…
A Remark on the Three Dimensional Baroclinic Quasigeostrophic Dynamics
Jinqiao Duan
We consider time-periodic patterns of the dissipative three dimensional baroclinic quasigeostrophic model in spherical coordinates, under time-dependent forcing. We show that when…
Dissipative Quasigeostrophic Dynamics under Random Forcing
James R. Brannan, Jinqiao Duan, Thomas Wanner
The quasigeostrophic model is a simplified geophysical fluid model at asymptotically high rotation rate or at small Rossby number. We consider the quasigeostrophic equation with di…
Time-Periodic Quasigeostrophic Motion under Dissipation and Forcing
Jinqiao Duan
The quasigeostrophic equation is a prototypical geophysical fluid model. In this paper, we consider time-periodic motions of this model under dissipation and time-dependent wind fo…
On a Linear Chaotic Quantum Harmonic Oscillator
Jinqiao Duan, Xin-Chu Fu, Pei-De Liu +1
We show that a linear quantum harmonic oscillator is chaotic in the sense of Li-Yorke. We also prove that the weighted backward shift map, used as an infinite dimensional linear ch…
Infinite-Dimensional Linear Dynamical Systems with Chaoticity
Xin-Chu Fu, Jinqiao Duan
The authors present two results on infinite-dimensional linear dynamical systems with chaoticity. One is about the chaoticity of the backward shift map in the space of infinite seq…
Passive Tracer Dispersion with Random or Periodic Source
Jinqiao Duan
In this paper, the author investigates the impact of external sources on the pattern formation and long-time behavior of concentration profiles of passive tracers in a two-dimensio…