Blow-up of dyadic MHD models with forward energy cascade

Mimi Dai

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arXiv · 2102.03498

Blow-up of dyadic MHD models with forward energy cascade

Mimi Dai

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Abstract

A particular type of dyadic model for the magnetohydrodynamics (MHD) with forward energy cascade is studied. The model includes intermittency dimension $\delta$ in the nonlinear scales. It is shown that when $\delta$ is small, positive solution with large initial data for either the dyadic MHD model or the dyadic Hall MHD develops blow-up in finite time.

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Mimi Dai. 2021-02-06. Blow-up of dyadic MHD models with forward energy cascade. https://arxiv.org/abs/2102.03498

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