Stability of the compressible viscous fluid around the plane Couette flow in the presence of a transverse uniform magnetic field
Stability of the compressible viscous fluid around the plane Couette flow in the presence of a transverse uniform magnetic field
复制标题
横向均匀磁场存在下平面库埃特流周围可压缩粘性流体的稳定性
DOI：
10.1142/s0219530518500100
复制
发表时间：
2019
影响因子：
2.2
通讯作者：
Li Hai-Liang
中科院分区：
文献类型：
--
作者：
Zhang Xingwei;Zhang Guojing;Li Hai-Liang
本文考虑了均匀横向磁场作用下三维可压缩黏性流体在平面Couette流周围的稳定性，证明了均匀横向磁场对平面Couette流有稳定作用。即对于足够大的哈特曼数，只要初始扰动足够小，可压缩粘性平面Couette流动在小马赫数和任意雷诺数下都是非线性稳定的。
In this paper, we consider the stability of three-dimensional compressible viscous fluid around the plane Couette flow in the presence of a uniform transverse magnetic field and show that the uniform transverse magnetic field has a stabilizing effect on the plane Couette flow. Namely, for a sufficiently large Hartmann number, the compressible viscous plane Couette flow is nonlinear stable for small Mach number and arbitrary Reynolds number so long as the initial perturbation is small enough.