| Abstract: |
| We study the Magneto-Hydro-Dynamics (MHS) problems governed by the motion of an isentropic compressible fluid in the torus subjected to a nonlinear stochastic perturbation of cylindrical type. We investigate the conditions on the adiabatic term for which the existence of a finite-energy generalized solution, that is, a finite-energy weak martingale solution is established. Our proof on the existence considers the use of four approximations schemes known as the four layer approximations procedures. In addition, the new techniques for the Ito formula, we pass to the delicate limit using probabilistic compactness techniques that need careful refinements. |
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