From Newton's second law to Euler's equations of perfect fluids
Analysis of PDEs
2020-08-27 v2 Mathematical Physics
math.MP
Abstract
Vlasov equations can be formally derived from N-body dynamics in the mean-field limit. In some suitable singular limits, they may themselves converge to fluid dynamics equations. Motivated by this heuristic, we introduce natural scalings under which the incompressible Euler equations can be rigorously derived from N-body dynamics with repulsive Coulomb interaction. Our analysis is based on the modulated energy methods of Brenier and Serfaty.
Keywords
Cite
@article{arxiv.2006.14924,
title = {From Newton's second law to Euler's equations of perfect fluids},
author = {Daniel Han-Kwan and Mikaela Iacobelli},
journal= {arXiv preprint arXiv:2006.14924},
year = {2020}
}
Comments
Minor typos corrected