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

Authors

Karl Oelschläger

Institut für Angewandte MathematikUniversität Heidelberg

Article

Received:

DOI:
10.1007/BF00375277

Cite this article as:

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

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Summary

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.