Jinqiao Duan, H. Gao, James Brannan
Nonlocal Dynamics of Passive Tracer Dispersion with Random Stopping
(649K, PostScript)

ABSTRACT.  We investigate the nonlocal behavior 
of passive tracer dispersion with random stopping at various sites 
in fluids. 
This kind of dispersion processes is modeled by an integral 
partial differential equation, i.e., an advection-diffusion equation 
with a memory term. We have shown the exponential decay of the 
passive tracer concentration, under suitable conditions for the 
velocity field and the probability distribution of random stopping time.