Article ID Journal Published Year Pages File Type
4616945 Journal of Mathematical Analysis and Applications 2013 6 Pages PDF
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
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