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arXiv · 1409.5174

On the three-dimensional magnetohydrodynamics system in scaling-invariant spaces

Kazuo Yamazaki
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Abstract

We study the criterion for the velocity and magnetic vector fields that solve the three-dimensional magnetohydrodynamics system, given any initial data sufficiently smooth, to experience a finite-time blowup. Following the work of [12] and making use of the structure of the system, we obtain a criterion that is imposed on the magnetic vector field and only one of the three components of the velocity vector field, both in scaling-invariant spaces.

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Kazuo Yamazaki. 2015-09-28. On the three-dimensional magnetohydrodynamics system in scaling-invariant spaces. https://doi.org/10.1016/j.bulsci.2015.08.003

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