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Zap. Nauchn. Sem. POMI, 2017, Volume 466, Pages 7–29 (Mi znsl6537)  

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

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


Full text: PDF file (254 kB)
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Document Type: Article
UDC: 519.2
Received: 16.10.2017

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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