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Global martingale solution to the stochastic nonhomogeneous magnetohydrodynamics system
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In this paper, the existence of a global martingale solution via a semi-Galerkin approximation scheme with stochastic calculus and applications of Prokhorov's and Skorokhod's theorems was proved.Abstract:
We study the three-dimensional stochastic nonhomogeneous magnetohydrodynamics system with random external forces that involve feedback, i.e., multiplicative noise, and are non-Lipschitz. We prove the existence of a global martingale solution via a semi-Galerkin approximation scheme with stochastic calculus and applications of Prokhorov's and Skorokhod's theorems. Furthermore, using de Rham's theorem for processes, we prove the existence of the pressure term.read more
Citations
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Stochastic Hall-Magneto-hydrodynamics System in Three and Two and a Half Dimensions
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Stochastic MHD equations with fractional kinematic dissipation and partial magnetic diffusion in R2
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Large deviation principle for the micropolar, magneto-micropolar fluid systems
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Ergodicity of a Galerkin approximation of three-dimensional magnetohydrodynamics system forced by a degenerate noise
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