Nonlocal Dynamics of Passive Tracer Dispersion with Random Stopping

Details Nonlocal Dynamics of Passive Tracer Dispersion with Random Stopping Nonlocal Dynamics of Passive Tracer Dispersion with Random Stopping

1999-01-22

arxiv.org/abs/math/9901100v1

Mathematics

Dynamical Systems

7 pages

Scientific paper

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.

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