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<p>In this note, we study numerically the regularity issue of the ideal MHD equations on the two-dimensional torus. By pseudo-spectral method, we provide evidence that a certain numerical solution is initially regular and eventually very singular in finite time.</p>

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A Numerical Study on Singularity Formation of the 2D Ideal MHD Equations

  • 期刊论文

  • 发表日期：

    2025年1月29日

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  • Daisuke Hirata

摘要

In this note, we study numerically the regularity issue of the ideal MHD equations on the two-dimensional torus. By pseudo-spectral method, we provide evidence that a certain numerical solution is initially regular and eventually very singular in finite time.