Singularity formation for the 1D model of EMHD

Chao Wu

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arXiv · 2503.18876

Singularity formation for the 1D model of EMHD

Chao Wu

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Abstract

In this paper, we study the singularity formation phenomenon of the 1D model of Electron Magnetohydrodynamics (EMHD). we will construct a solution whose $C^3$-norm blows up in finite time. In the end, we will show that the solution is in $C^{\infty}(\mathbb{R}\backslash \{0\})\cap C^{3,s}(\mathbb{R})\cap H^3(\mathbb{R})$ and is not asymptotically self-similar.

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Chao Wu. 2025-03-24. Singularity formation for the 1D model of EMHD. https://arxiv.org/abs/2503.18876

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