Abstract:
An infinite inhomogeneous harmonic chain of particles with different force constants of interaction is considered. The large time behavior of distributions of the solutions to the Cauchy problem with random initial data is studied. The main result of the paper establishes the convergence of these distributions to a limiting measure.
\Bibitem{Dud20}
\by T.~V.~Dudnikova
\paper Stabilization of Statistical Solutions for an Infinite Inhomogeneous Chain of Harmonic Oscillators
\inbook Differential equations and dynamical systems
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2020
\vol 308
\pages 181--196
\publ Steklov Math. Inst. RAS
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4054}
\crossref{https://doi.org/10.4213/tm4054}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4101850}
\elib{https://elibrary.ru/item.asp?id=43293363}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2020
\vol 308
\pages 168--183
\crossref{https://doi.org/10.1134/S0081543820010137}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000535370800013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85085348511}
Linking options:
https://www.mathnet.ru/eng/tm4054
https://doi.org/10.4213/tm4054
https://www.mathnet.ru/eng/tm/v308/p181
This publication is cited in the following 1 articles:
T. V. Dudnikova, “Space-time statistical solutions for a two-component chain of harmonic oscillators”, Lobachevskii J. Math., 42:6, SI (2021), 1248–1263
Citation in format AMSBIB
Contact us: