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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 1, Pages 25–39 (Mi pmtf1215)  
This article is cited in 3 scientific papers (total in 3 papers)

Application of group analysis to stochastic equations of fluid dynamics

S. V. Meleshkoab, O. Sumrumab, E. Schulzab

a Suranaree University of Technology, Nakhon Ratchasima, 30000, Thailand
b Center of Excellence in Mathematics, Bangkok, 10400, Thailand
Full-text PDF (257 kB) Citations (3)
Abstract: Group analysis is used to study stochastic equations of fluid dynamics. Determining equations for admitted Lie groups of transformation involving independent and dependent variables and Wiener processes are obtained. It is shown that, as in the case of deterministic differential equations, admitted groups make it possible to reduce invariant solutions of stochastic differential equations to solutions with a smaller number of independent variables.
Keywords: stochastic equations, equations of gas dynamics, Navier–Stokes equations, group analysis, invariant solutions.
Received: 13.02.2012
English version:
Journal of Applied Mechanics and Technical Physics, 2013, Volume 54, Issue 1
DOI: https://doi.org/10.1134/S0021894413010033
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. V. Meleshko, O. Sumrum, E. Schulz, “Application of group analysis to stochastic equations of fluid dynamics”, Prikl. Mekh. Tekh. Fiz., 54:1 (2013), 25–39
Citation in format AMSBIB
\Bibitem{MelSumSch13}
\by S.~V.~Meleshko, O.~Sumrum, E.~Schulz
\paper Application of group analysis to stochastic equations of fluid dynamics
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2013
\vol 54
\issue 1
\pages 25--39
\mathnet{http://mi.mathnet.ru/pmtf1215}
\elib{https://elibrary.ru/item.asp?id=24115850}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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