{"ID":23620898,"CreatedAt":"2026-09-18T06:47:37.825099056Z","UpdatedAt":"2026-09-18T06:47:37.825099056Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2609.20660","arxiv_id":"2609.20660","title":"Stochastic Two-Dimensional Anisotropic Magnetohydrodynamics System with Multiplicative Noise","abstract":"In this paper, we investigate the stochastic two-dimensional anisotropic magnetohydrodynamics system on $\\mathbb T^2$ with velocity dissipation acting only in the horizontal direction. Under multiplicative noise, we prove the existence of global martingale solutions and global probabilistically weak solutions, together with pathwise uniqueness.","short_abstract":"In this paper, we investigate the stochastic two-dimensional anisotropic magnetohydrodynamics system on $\\mathbb T^2$ with velocity dissipation acting only in the horizontal direction. Under multiplicative noise, we prove the existence of global martingale solutions and global probabilistically weak solutions, together...","url_abs":"https://arxiv.org/abs/2609.20660","url_pdf":"https://arxiv.org/pdf/2609.20660v1","authors":"[\"Mohammad Mahabubur Rahman\"]","published":"2026-09-17T16:39:01Z","proceeding":"math.AP","tasks":"[\"math.AP\",\"math.PR\"]","methods":"[]","has_code":false}