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<p>Global well-posedness of 2D inviscid Boussinesq equations is unsolved. In the present work, we find that if this inviscid hydrodynamics equation is perturbed by noise, the global well-posedness holds in high probability with initial data satisfies a certain Gevrey-type bound. Moreover, the unique global solution to the stochastic inviscid 2D Boussinesq equation is bounded by the initial data.</p>

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Global Existence and Uniqueness of Pathwise Solution to the Stochastic 2D Inviscid Boussinesq Equations

  • 期刊论文

  • 发表日期：

    2025年5月21日

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  • Shijia Zhang,
  • Guoli Zhou

摘要

Global well-posedness of 2D inviscid Boussinesq equations is unsolved. In the present work, we find that if this inviscid hydrodynamics equation is perturbed by noise, the global well-posedness holds in high probability with initial data satisfies a certain Gevrey-type bound. Moreover, the unique global solution to the stochastic inviscid 2D Boussinesq equation is bounded by the initial data.