From N-body problem to Euler equations
Mathematical Physics
2017-04-05 v3 math.MP
Abstract
This paper contains a rigorous mathematical example of direct derivation of the system of Euler hydrodynamic equations from Hamiltonian equations for N point particle system as N tends to infinity. Direct means that the following standard tools are not used in the proof: stochastic dynamics, thermodynamics, Boltzmann kinetic equations, correlation functions approach by N. N. Bogolyubov.
Keywords
Cite
@article{arxiv.1610.10016,
title = {From N-body problem to Euler equations},
author = {A. A. Lykov and V. A. Malyshev},
journal= {arXiv preprint arXiv:1610.10016},
year = {2017}
}
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