On the connection between Hamiltonian many-particle systems and the hydrodynamical equations
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...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
December 1991
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| In: |
Archive for rational mechanics and analysis
Year: 1991, Volume: 115, Issue: 4, Pages: 297-310 |
| ISSN: | 1432-0673 |
| DOI: | 10.1007/BF00375277 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1007/BF00375277 Verlag, Volltext: https://link.springer.com/article/10.1007/BF00375277 
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| Author Notes: | Karl Oelschläger |
| 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. |
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| Item Description: | Gesehen am 08.06.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1432-0673 |
| DOI: | 10.1007/BF00375277 |