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Existence and numerical approximation of periodic motions of an infinite lattice of particles

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Abstract

We prove the existence of periodic motions of an infinite lattice of particles; the proof involves the study of periodic motions for finite lattices by a linking technique and the passage to the limit by means of Lions' concentration-compactness principle. We also give a numerical picture of the motion of some finite lattices and of the way the solutions for finite lattices approach the solution for the infinite lattice by a technique developed by Choi and McKenna [6].

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Authors and Affiliations

  1. Dip di Matematica, via Saldini 50, 20133, Milano

    G. Arioli

  2. Dip di Scienze T.A., via Cavour 84, 15100, Alessandria, Italy

    F. Gazzola

Authors
  1. G. Arioli
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  2. F. Gazzola
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Arioli, G., Gazzola, F. Existence and numerical approximation of periodic motions of an infinite lattice of particles. Z. angew. Math. Phys. 46, 898–912 (1995). https://doi.org/10.1007/BF00917876

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  • DOI: https://doi.org/10.1007/BF00917876

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