Regularity criteria to the axisymmetric incompressible Magneto-hydrodynamics equations
Regularity criteria to the axisymmetric incompressible Magneto-hydrodynamics equations
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DOI：
10.4310/dpde.2018.v15.n2.a2
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发表时间：
2018
影响因子：
1.3
通讯作者：
Q. Jiu;Jitao Liu
中科院分区：
文献类型：
--
作者：
Q. Jiu;Jitao Liu
.本文研究了不可压MHD方程轴对称解的正则性准则，方程的形式为u = urerr + u θ e θ + uzez和B = B θ e θ .通过建立一些新的估计，得到了一些新的与B θ无关的标度不变的正则性准则.在某种程度上，我们的工作可以看作是D. Chae和J. Lee [ 9 ]在轴对称不可压缩Navier-Stokes方程上。
. In this paper, we investigate the regularity criteria of axisymmetric solutions to the incompressible MHD equations, which have the form u = u r e r + u θ e θ + u z e z and b = b θ e θ . Through establishing some innovative estimates, we obtain some new regularity criteria that are scaling invariant and independent of b θ . To some extent, our work can be seen as a generation of the result by D. Chae and J. Lee [ 9 ] on the axisymmetric incompressible Navier-Stokes equations.