Ya. I. Belopolskaya, A. O. Stepanova, “Stochastic interpretation of the MHD-Burgers system”, Zap. Nauchn. Sem. POMI, 2017, Volume 466,Pages <nobr>7

This article is cited in 6 papers

Stochastic interpretation of the MHD-Burgers system

Ya. I. Belopolskaya^ab, 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.

UDC: 519.2

Received: 16.10.2017