Title of article
Regularity criteria for the 3D MHD equations via one directional derivative of the pressure
Author/Authors
Zhang، نويسنده , , Zujin and Li، نويسنده , , Peng and Yu، نويسنده , , Gaohang and Huang، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2013
Pages
6
From page
66
To page
71
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 ∂ 3 p . In particular, if ∂ 3 p ∈ L α ( 0 , T ; L β ( R 3 ) ) with 2 α + 3 β = 2 , 3 2 ≤ β ≤ 3 , then the solution remains smooth on [ 0 , T ] .
Keywords
Magneto-hydrodynamic equations , Regularity criterion , global regularity , A priori estimates
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2013
Journal title
Journal of Mathematical Analysis and Applications
Record number
1563415
Link To Document