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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 466, Pages 7–29
(Mi znsl6537)
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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
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.
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
Linking options:
https://www.mathnet.ru/eng/znsl6537 https://www.mathnet.ru/eng/znsl/v466/p7
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Abstract page: | 175 | Full-text PDF : | 63 | References: | 43 |
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