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<p>We analyze a stochastic 2D Allen-Cahn-magnetohydrodynamic System perturbed by a multiplicative noise of Lévy type. The model consists of the magnetohydrodynamic equations for the magnetic field and the velocity, coupled with an Allen-Cahn model for the order (phase) parameter, and describes the motion of binary fluid excited by random forces under the influence of an electromagnetic field. We prove the existence and uniqueness of a probabilistically strong solution. The proof is based on the Galerkin approximation and the stopping time approach.</p>

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On a stochastic 2D Allen-Cahn-Magnetohydrodynamic system driven by jump noise

  • 期刊论文

  • 发表日期：

    2025年6月10日

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  • Salvador Awo Kougang,
  • Gabriel Deugoué,
  • Calvin Tadmon

摘要

We analyze a stochastic 2D Allen-Cahn-magnetohydrodynamic System perturbed by a multiplicative noise of Lévy type. The model consists of the magnetohydrodynamic equations for the magnetic field and the velocity, coupled with an Allen-Cahn model for the order (phase) parameter, and describes the motion of binary fluid excited by random forces under the influence of an electromagnetic field. We prove the existence and uniqueness of a probabilistically strong solution. The proof is based on the Galerkin approximation and the stopping time approach.