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Dynamics of Infinitely Many Particles Mutually Interacting in Three Dimensions via a Bounded Superstable Long-Range Potential |
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| Authors: | G Cavallaro C Marchioro C Spitoni |
| Institution: | (1) Dipartimento di Matematica, Universitá di Roma, “La Sapienza”, Piazzale A. Moro 2, 00185 Roma, Italy;(2) Dipartimento Metodi e Modelli Matematici, Universitá di Roma, “La Sapienza”, Via A. Scarpa 16, 00185 Roma, Italy |
| Abstract: | We show existence and uniqueness for the solutions to the Newton equations relative to a system of infinitely many particles moving in the three-dimensional space and mutually interacting via a bounded superstable long-range potential. The present paper complete an analogous result obtained for positive short-range interaction. |
| Keywords: | Infinite dynamics superstable interaction long-range potential |
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