Duan, Jinqiao
Passive Tracer Dispersion with Random or Periodic Source
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ABSTRACT.  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.