Large-time asymptotic behavior of the infinite system of harmonic oscillators
T.V. Dudnikova
TL;DR
This paper investigates the long-term behavior of an infinite chain of harmonic oscillators on a half-line, deriving dispersive bounds to understand how solutions evolve over large times.
Contribution
It provides new insights into the asymptotic behavior of infinite harmonic oscillator systems with boundary conditions.
Findings
Derived dispersive bounds for the system
Analyzed large-time asymptotics of solutions
Extended understanding of boundary effects on infinite chains
Abstract
The mixed initial-boundary value problem for infinite one-dimensional chain of harmonic oscillators on the half-line is considered. We study the large time behavior of solutions and derive the dispersive bounds.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Stability and Controllability of Differential Equations · Differential Equations and Numerical Methods