| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4616145 | Journal of Mathematical Analysis and Applications | 2014 | 13 Pages |
Abstract
We study the two-dimensional generalized magnetohydrodynamics system with dissipation and diffusion in terms of fractional Laplacians. In particular, in the case where the diffusion term has the power β=1β=1, in contrast to the previous result of α⩾12, we show that α>13 suffices in order for the solution pair of velocity and magnetic fields to remain smooth for all time.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Kazuo Yamazaki,