Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609597 | Journal of Differential Equations | 2016 | 31 Pages |
Abstract
Let (u,b)(u,b) be a smooth enough solution of 3-D incompressible MHD system. We prove that if (u,b)(u,b) blows up at a finite time T⁎T⁎, then for any p∈]4,∞[p∈]4,∞[, there holds ∫0T⁎(‖u3(t′)‖H˙12+2pp+‖b(t′)‖H˙12+2pp)dt′=∞. We remark that all these quantities are in the critical regularity of the MHD system.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yanlin Liu,