Liouville models of particle-laden flow
Mathematical Physics
2024-03-11 v1 math.MP
Abstract
Langevin (stochastic differential) equations are routinely used to describe particle-laden flows. They predict Gaussian probability density functions (PDFs) of a particle's trajectory and velocity, even though experimentally observed dynamics might be highly non-Gaussian. Our Liouville approach overcomes this dichotomy by replacing the Wiener process in the Langevin models with a (small) set of random variables, whose distributions are tuned to match the observed statistics.
Keywords
Cite
@article{arxiv.2403.04913,
title = {Liouville models of particle-laden flow},
author = {Daniel Domínguez-Vázquez and Gustaaf B. Jacobs and Daniel M. Tartakovsky},
journal= {arXiv preprint arXiv:2403.04913},
year = {2024}
}