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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 466, Pages 7–29 (Mi znsl6537)  
This article is cited in 6 scientific papers (total in 7 papers)

Stochastic interpretation of the MHD-Burgers system

Ya. I. Belopolskayaab, A. O. Stepanova

a St. Petersburg State University of Architecture and Civil Engineering, St. Petersburg, Russia
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
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Abstract: We construct a stochastic interpretation of generalised solution of the Cauchy problem for the simplest magneto-hydrodynamics system, namely, a system including the Burgers equation with a pressure due to a magnetic field. The probabilistic representation constructed in the paper can be used for numerical computations.
Key words and phrases: stochastic differential equations, systems of quasilinear parabolic equations, generalised solutions of the Cauchy problem.
Funding agency Grant number
Russian Science Foundation 17-11-01136
Received: 16.10.2017
Document Type: Article
UDC: 519.2
Language: Russian
Citation: Ya. I. Belopolskaya, A. O. Stepanova, “Stochastic interpretation of the MHD-Burgers system”, Probability and statistics. Part 26, Zap. Nauchn. Sem. POMI, 466, POMI, St. Petersburg, 2017, 7–29
Citation in format AMSBIB
\Bibitem{BelSte17}
\by Ya.~I.~Belopolskaya, A.~O.~Stepanova
\paper Stochastic interpretation of the MHD-Burgers system
\inbook Probability and statistics. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 466
\pages 7--29
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6537}
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  • https://www.mathnet.ru/eng/znsl/v466/p7
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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