On Stationary Nonequilibrium Measures for Wave Equations

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....

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Bibliographic Details
Published in:Doklady. Mathematics 2020-05, Vol.101 (3), p.195-197
Main Author: Dudnikova, T. V.
Format: Article
Language:English
Subjects:
Cauchy problems
Constraining
Flux density
Mathematics
Mathematics and Statistics
Wave equations
Citations: Items that this one cites
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Summary: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.
ISSN:1064-5624
1531-8362
DOI:10.1134/S1064562420030072