Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4668675 | Bulletin des Sciences Mathématiques | 2016 | 40 Pages |
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 Chemin and Zhang [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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Kazuo Yamazaki,