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arXiv · 2006.15094

Dyadic models with intermittency dependence for the Hall MHD

Mimi Dai
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Abstract

We derive dyadic models for the magnetohydrodynamics with Hall effect by including the intermittency dimension as a parameter. For such dyadic models, existence of global weak solutions is established. In addition, local strong solution is obtained; while global strong solution is obtained in the case of high intermittency dimension. Moreover, we show that positive solution with large initial data develops blow-up in finite time provided the intermittency dimension is lower than a threshold.

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Mimi Dai. 2020-06-26. Dyadic models with intermittency dependence for the Hall MHD. https://doi.org/10.1016/j.physd.2021.133066

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