PreprintCC BY 4.0arXiv
Some Considerations on the Fluid-Dynamical Limit of Particle Systems
Abstract
In this note we review and compare mathematical procedures aimed at rigorously deriving fluid-dynamic descriptions of classical particle systems in the large-scale limit of Hamiltonian dynamics. Despite the longstanding nature of this program, its fundamental problems remain open, with only a few notable exceptions that we briefly highlight.
Versions
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BibTeX
@misc{pulvirenti2026some,
title = {{Some Considerations on the Fluid-Dynamical Limit of Particle Systems}},
author = {Mario Pulvirenti and Sergio Simonella},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.18550},
eprint = {2609.18550},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.18550},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Some Considerations on the Fluid-Dynamical Limit of Particle Systems
AU - Mario Pulvirenti
AU - Sergio Simonella
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2609.18550
UR - https://arxiv.org/abs/2609.18550
AB - In this note we review and compare mathematical procedures aimed at rigorously deriving fluid-dynamic descriptions of classical particle systems in the large-scale limit of Hamiltonian dynamics. Despite the longstanding nature of this program, its fundamental problems remain open, with only a few notable exceptions that we briefly highlight.
ER -