On the three-dimensional magnetohydrodynamics system in scaling-invariant spaces
Analysis of PDEs
2015-09-30 v2
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.
Keywords
Cite
@article{arxiv.1409.5174,
title = {On the three-dimensional magnetohydrodynamics system in scaling-invariant spaces},
author = {Kazuo Yamazaki},
journal= {arXiv preprint arXiv:1409.5174},
year = {2015}
}
Comments
This is the version accepted by Bull. Sci. Math., currently in press. There is no mathematical change at all, only grammatical and formatting revision, Bull. Sci. Math. (2015)