On the derivation of the incompressible Mavier-Stokes equation for Hamiltonian particle systems |
| |
Authors: | R. Esposito R. Marra |
| |
Affiliation: | (1) Dipartimento di Matematica, Università di Roma Tor Vergata, Rome, Italy;(2) Dipartimento di Fisica, Università di Roma tor Vergata, Rome, Italy |
| |
Abstract: | We consider a Hamiltonian paticle system interacting by means of a pair potetial. We look at the behavior of the system on a space scale of order -1, times of order -2 and mean velocities of order , with a scale parameter. Assuming that the phase space density of the particles is give by a series in (the analog of the Chapman-Enskog expansion), the behavior of the system under this rescaling is described, to the lowest order in , by the incompressible Navier-Stokes equations. The viscosity is given in terms of microscopic correlations, and its expression agrees with the Green-Kubo formula. |
| |
Keywords: | Hydrodynamic limit incompressible Navier-Stokes equations particle systems |
本文献已被 SpringerLink 等数据库收录! |
|