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

  • G. Arioli
  • F. Gazzola
Original Papers

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].

Keywords

Mathematical Method Numerical Approximation Periodic Motion Finite Lattice Infinite Lattice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag 1995

Authors and Affiliations

  • G. Arioli
    • 1
  • F. Gazzola
    • 2
  1. 1.Dip di MatematicaMilano
  2. 2.Dip di Scienze T.A.AlessandriaItaly

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