Nonlocal Dynamics of Passive Tracer Dispersion with Random Stopping
Dynamical Systems
2025-10-20 v1 Numerical Analysis
Analysis of PDEs
Numerical Analysis
Probability
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.
Keywords
Cite
@article{arxiv.math/9901100,
title = {Nonlocal Dynamics of Passive Tracer Dispersion with Random Stopping},
author = {Jinqiao Duan and James R. Brannan and H. Gao},
journal= {arXiv preprint arXiv:math/9901100},
year = {2025}
}
Comments
7 pages