Reduced models for electron magnetohydrodynamics: well-posedness and singularity formation

Mimi Dai

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arXiv · 2204.01951

Reduced models for electron magnetohydrodynamics: well-posedness and singularity formation

Mimi Dai

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Abstract

We propose some one-dimensional reduced models for the three-dimensional electron magnetohydrodynamics which involves a highly nonlinear Hall term with intricate structure. The models contain nonlocal nonlinear terms. Local well-posedness is obtained in certain circumstances. In contrast, for a model with nonlocal transport term, we show that finite time singularity may occur for some initial data.

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Mimi Dai. 2022-04-05. Reduced models for electron magnetohydrodynamics: well-posedness and singularity formation. https://arxiv.org/abs/2204.01951

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