Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




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

Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 492, Pages 27–30
DOI: https://doi.org/10.31857/S2686954320030078 (Mi danma67) 		 
MATHEMATICS

On stationary nonequilibrium measures for wave equations

T. V. Dudnikova

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow, Russian Federation
Full-text PDF (172 kB)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S2686954320030078
Abstract: In the paper, the Cauchy problem for wave equations with constant and variable coefficients is considered. We assume that the initial data are a random function with finite mean energy density and study the convergence of distributions of the solutions to a limiting Gaussian measure for large times. We derive the formulas for the limiting energy current density (in mean) and find a new class of stationary nonequilibrium states for the studied model.
Keywords: wave equations, random initial data, mixing condition, weak convergence of measures, Gaussian and Gibbs measures, energy current density, nonequilibrium states.
Presented: B. N. Chetverushkin
Received: 05.03.2020
Revised: 05.03.2020
Accepted: 23.03.2020
English version:
Doklady Mathematics, 2020, Volume 101, Issue 3, Pages 195–197
DOI: https://doi.org/10.1134/S1064562420030072
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: T. V. Dudnikova, “On stationary nonequilibrium measures for wave equations”, Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020), 27–30; Dokl. Math., 101:3 (2020), 195–197
Citation in format AMSBIB
\Bibitem{Dud20}
\by T.~V.~Dudnikova
\paper On stationary nonequilibrium measures for wave equations
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2020
\vol 492
\pages 27--30
\mathnet{http://mi.mathnet.ru/danma67}
\crossref{https://doi.org/10.31857/S2686954320030078}
\zmath{https://zbmath.org/?q=an:7424587}
\elib{https://elibrary.ru/item.asp?id=42929990}
\transl
\jour Dokl. Math.
\yr 2020
\vol 101
\issue 3
\pages 195--197
\crossref{https://doi.org/10.1134/S1064562420030072}
Linking options:
  • https://www.mathnet.ru/eng/danma67
  • https://www.mathnet.ru/eng/danma/v492/p27
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
    Statistics & downloads:
    Abstract page:73
    Full-text PDF :20
    References:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024