We construct a stochastic interpretation of a generalized 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.
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Belopolskaya, Y.I., Stepanova, A.O. Stochastic Interpretation of the MHD-Burgers System. J Math Sci 244, 703–717 (2020) doi:10.1007/s10958-020-04643-1