A remark on the two-dimensional magneto-hydrodynamics-alpha system
Analysis of PDEs
2016-03-22 v2
Abstract
We study the two-dimensional generalized magnetohydrodynamics- system with fractional Laplacians in the dissipative and diffusive terms. We show that the solution pair of velocity and magnetic fields preserves their initial regularity in all cases when the powers add up to one. This settles the global regularity issue in the general case which was remarked by the authors in [33] to be a problem.
Keywords
Cite
@article{arxiv.1401.6237,
title = {A remark on the two-dimensional magneto-hydrodynamics-alpha system},
author = {Kazuo Yamazaki},
journal= {arXiv preprint arXiv:1401.6237},
year = {2016}
}
Comments
The title has been modified, specifically, from "magnetohydrodynamics" to "magneto-hydrodynamics" for a editing reason during the publication process. To appear in J. Math. Fluid Mechanics