Space-time statistical solutions for a two-component chain of harmonic oscillators

DOI10.1134/S1995080221060068zbMath1469.82020arXiv2102.04380OpenAlexW3182726907MaRDI QIDQ2039025

Tat'yana V. Dudnikova

Publication date: 8 July 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.04380

zbMATH Keywords

Cauchy problemrandom initial dataweak convergence of measuresinhomogeneous chain of harmonic oscillatorsspacetime statistical solutions

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) PDEs with measure (35R06)

Cites Work

• On ergodic properties for harmonic crystals
• Stabilization of space-time statistical solutions of the Klein-Gordon equation
• Behavior for large time of a two-component chain of harmonic oscillators
• Stabilization of statistical solutions for an infinite inhomogeneous chain of harmonic oscillators
• Convergence to stationary states and energy current for infinite harmonic crystals
• Mathematical Problems of Statistical Hydromechanics
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