Archive for Rational Mechanics and Analysis

, Volume 115, Issue 4, pp 297–310

On the connection between Hamiltonian many-particle systems and the hydrodynamical equations

  • Karl Oelschläger

DOI: 10.1007/BF00375277

Cite this article as:
Oelschläger, K. Arch. Rational Mech. Anal. (1991) 115: 297. doi:10.1007/BF00375277


We consider certain Hamiltonian systems with many particles interacting through a potential whose range is large in comparison with the typical distance between neighbouring particles. It is shown that the empirical processes of the positions and the velocities respectively converge to solutions of the continuity equation and the Euler equation, in the limit as the particle number tends to infinity.

Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Karl Oelschläger
    • 1
  1. 1.Institut für Angewandte MathematikUniversität HeidelbergHeidelbergGermany