Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616945 | Journal of Mathematical Analysis and Applications | 2013 | 6 Pages |
Abstract
In this paper, we consider the Cauchy problem for the 3D viscous MHD equations, and provide some regularity criteria involving only one directional derivative of the pressure, say ∂3p∂3p. In particular, if ∂3p∈Lα(0,T;Lβ(R3))with 2α+3β=2,32≤β≤3, then the solution remains smooth on [0,T][0,T].
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Zujin Zhang, Peng Li, Gaohang Yu,