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Stochastic Two-Dimensional Anisotropic Magnetohydrodynamics System with Multiplicative Noise

  • Mohammad Mahabubur Rahman
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Abstract

In this paper, we investigate the stochastic two-dimensional anisotropic magnetohydrodynamics system on 𝕋2 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.

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Cite

BibTeXRIS
BibTeX
@misc{rahman2026stochastic,
  title = {{Stochastic Two-Dimensional Anisotropic Magnetohydrodynamics System with Multiplicative Noise}},
  author = {Mohammad Mahabubur Rahman},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.20660},
  eprint = {2609.20660},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.20660},
}
RIS
TY  - UNPB
TI  - Stochastic Two-Dimensional Anisotropic Magnetohydrodynamics System with Multiplicative Noise
AU  - Mohammad Mahabubur Rahman
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2609.20660
UR  - https://arxiv.org/abs/2609.20660
AB  - In this paper, we investigate the stochastic two-dimensional anisotropic magnetohydrodynamics system on 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.
ER  -