三维流体动力圆盘中的惯性波
Inertial waves near corotation in 3D hydrodynamical disks
摘要：
本文研究流体动力圆盘中非轴对称惯性波与其共转共振的相互作用。惯性波是令人感兴趣的，因为它们可以局限于由Lindblad半径限定的谐振腔中，并且因此表现出可以观察到的离散振荡频率。人们经常假设这些被捕获的本征模与知之甚少的QPO现象有关。我们证明了一个大类的非轴对称的三维惯性波不能表现为被困的正常模式。这一类包括任何惯性波的共振腔包含一个共转奇点。相反，这些“奇异”模式构成了一个连续谱，并作为一个整体，对流，引起剪切波。最后，我们提出了一个简单的演示如何在一个细长的环面的共转奇点稳定的三维扰动。
英文摘要：
This paper concerns the interaction between non-axisymmetric inertial waves and their corotation resonances in a hydrodynamical disk. Inertial waves are of interest because they can localise in resonant cavities circumscribed by Lindblad radii, and as a consequence exhibit discrete oscillation frequencies that may be observed. It is often hypothesised that these trapped eigenmodes are affiliated with the poorly understood QPO phenomenon. We demonstrate that a large class of non-axisymmetric 3D inertial waves cannot manifest as trapped normal modes. This class includes any inertial wave whose resonant cavity contains a corotation singularity. Instead, these `singular' modes constitute a continuous spectrum and, as an ensemble, are convected with the flow, giving rise to shearing waves. Lastly, we present a simple demonstration of how the corotation singularity stabilizes three-dimensional perturbations in a slender torus.
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