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KIAM Preprint № 254, Moscow, 2018
Authors: Dudnikova T. V.
Infinite non homogeneous chain of harmonic oscillators: Stabilization of statistical solutions
Abstract:
We consider an infinite irregular harmonic chain of particles with different force constants of interaction between them. For large times we study the behavior of distributions of solutions of the Cauchy problem with random initial conditions. The main goal is to prove the convergence of these distributions to a limiting measure.
Keywords:
infinite two-component chain of harmonic oscillators, Cauchy problem, random initial data, weak convergence of measures
Publication language: russian,  pages: 24
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Dudnikova Tatiana Vladimirovna,  orcid.org/0000-0001-9274-3212KIAM RAS