182 citations · 1.5k across the 227 of their papers we have counts for
10 papers · 1 filter
Generalized Stable Multivariate Distribution and Anisotropic Dilations
D. Schertzer, M. Larcheveque, J. Duan +1
After having closely re-examined the notion of a Lévy's stable vector, it is shown that the notion of a stable multivariate distribution is more general than previously defined. In…
Fractional Fokker-Planck Equation for Nonlinear Stochastic Differential Equations Driven by Non-Gaussian Levy Stable Noises
D. Schertzer, M. Larchevêque, J. Duan +2
The Fokker-Planck equation has been very useful for studying dynamic behavior of stochastic differential equations driven by Gaussian noises. However, there are both theoretical an…
Almost Periodic Passive Tracer Dispersion
Jinqiao Duan, Hongjun Gao, Xinchu Fu
The authors investigate the impact of external sources on the pattern formation of concentration profiles of passive tracers in a two-dimensional shear flow. By using the pullback…
Dissipative Quasigeostrophic Motion under Temporally Almost Periodic Forcing
Jinqiao Duan, Peter E. Kloeden
The full nonlinear dissipative quasigeostrophic model is shown to have a unique temporally almost periodic solution when the wind forcing is temporally almost periodic under suitab…
Chaotic Properties of Subshifts Generated by a Non-Periodic Recurrent Orbit
Xin-Chu Fu, Yibin Fu, Jinqiao Duan +1
The chaotic properties of some subshift maps are investigated. These subshifts are the orbit closures of certain non-periodic recurrent points of a shift map. We first provide a re…
Escape Probability and Mean Residence Time in Random Flows with Unsteady Drift
Jinqiao Duan, James Brannan, Vincent Ervin
We investigate fluid transport in random velocity fields with unsteady drift. First, we propose to quantify fluid transport between flow regimes of different characteristic motion,…
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…
Limit Set of Trajectories of the Coupled Viscous Burgers' Equations
J. Duan, J. Nee
In this letter, a coupled system of viscous Burgers' equations with zero Dirichlet boundary conditions and appropriate initial data is considered. For the well-known single viscous…