Formation of Finite Time Singularity for Axially Symmetric Magnetohydrodynamic Waves in 3-D

Lv Cai; Ning-An Lai

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arXiv · 2310.05045

Formation of Finite Time Singularity for Axially Symmetric Magnetohydrodynamic Waves in 3-D

Lv Cai·Ning-An Lai

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Abstract

In this paper we study the compressible magnetohydrodynamics equations in three dimensions, which offer a good model for plasmas. Formation of singularity for C1-solution in finite time is proved with axisymmetric initial data. The key observation is that the magnetic force term admits good structure with axisymmtric assumption.

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Lv Cai, Ning-An Lai. 2023-10-08. Formation of Finite Time Singularity for Axially Symmetric Magnetohydrodynamic Waves in 3-D. https://arxiv.org/abs/2310.05045

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