ha o - dy n / 98 05 02 1 v 1 2 5 M ay 1 99 8 Passive Tracer Dispersion with Random or Periodic Source ∗
نویسنده
چکیده
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-dimensional shear flow. It is shown that a time-periodic concentration profile exists for time-periodic external source, while for random source, the distribution functions of all concentration profiles weakly converge to a unique invariant measure (like a stationary state in deterministic systems) as time goes to infinity.
منابع مشابه
ha o - dy n / 99 11 02 1 v 1 1 6 N ov 1 99 9 Almost Periodic Passive Tracer Dispersion ∗
The authors investigate the impact of external sources on the pattern formation of concentration profiles of passive tracers in a twodimensional shear flow. By using the pullback attractor technique for the associated nonautonomous dynamical system, it is shown that a unique time-almost periodic concentration profile exists for timealmost periodic external source. ∗This work was partly supporte...
متن کاملar X iv : c ha o - dy n / 98 05 02 3 v 1 2 5 M ay 1 99 8 On a Linear Chaotic Quantum Harmonic Oscillator ∗ September 7 , 1997
Jinqiao Duan1 , Xin-Chu Fu2,3, Pei-De Liu4, and Anthony Manning2 1. Department of Mathematical Sciences, Clemson University, Clemson, South Carolina 29634, USA. 2. Mathematics Institute, University of Warwick, Coventry CV4 7AL, England, UK. 3. Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, P. O. Box 71010, Wuhan 430071, CHINA. 4. Department of Mathematics, Wuhan Un...
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