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A particle method for a self-gravitating fluid: A convergence result

✍ Scribed by Roberto Di Lisio

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
409 KB
Volume
18
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We study an Hamiltonian system of N particles in ℝ^3^ interacting by a short‐range repulsive and a long‐range attractive potential. It is shown that the empirical measures associated to the positions and velocity of the system converge to the solutions of Euler equations for a self‐gravitating fluid, in the limit as the particle number tends to infinity, for a suitable scaling of the interactions.

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