对“局域诱导近似外形式下超流4 He中螺旋涡丝的运动”一文的评论
Comment on "Motion of a helical vortex filament in superfluid 4He under the extrinsic form of the local induction approximation"
摘要：
我们评论Van Gorder的论文[“Motion of a helical vortex filament in superfluid ${}^4$ He under the extrinsic form of the local induction approximation”，Phys. Fluids 25，085101（2013）]。我们指出，平行于涡旋的正常流体分量的流动往往会导致Donnelly-Glaberson不稳定性，从而引起Kelvin波的放大。我们解释了为什么与局部非线性方程的比较是不合理的，并指出，忽略在$x$方向的运动是不合理的开尔文波与任意波长和振幅。在一般情况下，正确的方程也被导出。
英文摘要：
We comment on the paper by Van Gorder ["Motion of a helical vortex filament in superfluid ${}^4$He under the extrinsic form of the local induction approximation", Phys. Fluids 25, 085101 (2013)]. We point out that the flow of the normal fluid component parallel to the vortex will often lead into the Donnelly-Glaberson instability, which will cause the amplification of the Kelvin wave. We explain why the comparison to local nonlinear equation is unreasonable, and remark that neglecting the motion in the $x$-direction is not reasonable for a Kelvin wave with an arbitrary wave length and amplitude. The correct equations in the general case are also derived.
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