Journal of Jishou University(Natural Sciences Edition)

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Well-Posedness of the Solution for a Stochastic 2D Magnetic Bénard Problem

XIE Ting   

  1. (School of Applied Mathematics,Nanjing University of Finance and Economics, Nanjing 210046, China)
  • Online:2020-07-25 Published:2020-10-27


The existence and uniqueness of 2D magnetic Bénard problem are proved through the uniform estimation and weak convergence method, the classical monotonicity theorem, and Itô equation and Burkholder-Davis-Gundyinequation. On this basis, the regularity of the solution of 2D magnetic Bénard problem is studied.

Key words: magnetic, stochastic Bénard problem, well-posedness, Itô equation

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