Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 308, Pages 181–196
DOI: https://doi.org/10.4213/tm4054 (Mi tm4054) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Stabilization of Statistical Solutions for an Infinite Inhomogeneous Chain of Harmonic Oscillators

T. V. Dudnikova

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047 Russia
Full-text PDF (251 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tm4054
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.
Funding agency Grant number
Russian Science Foundation 19-71-30004
This work is supported by the Russian Science Foundation under grant 19-71-30004).
Received: March 3, 2019
Revised: September 15, 2019
Accepted: October 25, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 308, Pages 168–183
DOI: https://doi.org/10.1134/S0081543820010137
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: T. V. Dudnikova, “Stabilization of Statistical Solutions for an Infinite Inhomogeneous Chain of Harmonic Oscillators”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 308, Steklov Math. Inst. RAS, Moscow, 2020, 181–196; Proc. Steklov Inst. Math., 308 (2020), 168–183
Citation in format AMSBIB
\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{https://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:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025