ArticleScientific reports2026
Modeling and analysis of stochastic quantum magnetohydrodynamics equations with energy estimates.
Article in Scientific reports, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.
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Abstract
This manuscript investigates the three-dimensional stochastic compressible quantum magnetohydrodynamic equation with density-dependent and stochastic external forces. First, we approximate the modelled system. In this work, the existence of a martingale solution within a given time interval is established by deriving energy estimates and applying the fixed-point argument. The proposed system is approximated using the Faedo-Galerkin method, the Jakubowski-Skorokhod theorem, and the compactness method. Furthermore, the result is analyzed in the limit [Formula: see text] and [Formula: see text]. Finally, numerical results for the quantum magnetohydrodynamic system are presented for the demonstrated theoretical findings.
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