Preprints of the Keldysh Institute of Applied Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Keldysh Institute preprints:
Year:
Volume:
Issue:
Page:
Find






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


Preprints of the Keldysh Institute of Applied Mathematics, 2005, 077, 32 pp. (Mi ipmp718)  

On convergence to equilibrium for wave equations in $\mathbb R^n$, with odd $n\ge3$

T. V. Dudnikova
Abstract: Consider the wave equations in $\mathbb R^n$, with $n\ge3$ and odd, with constant or variable coefficients. The initial datum is a random function with a finite mean density of energy that satisfies a Rosenblatt- or Ibragimov-Linnik-type mixing condition. It is assumed that the initial random function converges to different space-homogeneous processes as $x_n\to\pm\infty$, with the distributions $\mu_\pm$. We study the distribution $\mu_t$ of the random solution at a time $t\in\mathbb R$. The main result is the convergence of $\mu_t$ to a Gaussian measure as $t\to\infty$ that means a central limit theorem for the wave equations. The application to the case of the Gibbs measures $\mu_\pm=g_\pm$ with two different temperatures $T_\pm$ is given.
Document Type: Preprint
Language: Russian
Citation: T. V. Dudnikova, “On convergence to equilibrium for wave equations in $\mathbb R^n$, with odd $n\ge3$”, Keldysh Institute preprints, 2005, 077, 32 pp.
Citation in format AMSBIB
\Bibitem{Dud05}
\by T.~V.~Dudnikova
\paper On convergence to equilibrium for wave equations in~$\mathbb R^n$, with odd $n\ge3$
\jour Keldysh Institute preprints
\yr 2005
\papernumber 077
\totalpages 32
\mathnet{http://mi.mathnet.ru/ipmp718}
Linking options:
  • https://www.mathnet.ru/eng/ipmp718
  • https://www.mathnet.ru/eng/ipmp/y2005/p77
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
    Statistics & downloads:
    Abstract page:69
    Full-text PDF :37
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024