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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.… Click to show full abstract
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.
Keywords:
intermittency dependence;
intermittency;
dyadic model;
blow dyadic;
intermittency dimension;
model intermittency
Journal Title: Physica D: Nonlinear Phenomena
Year Published: 2021
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Journal Title: Physica D: Nonlinear Phenomena
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!