用瑞利-里兹技术研究日冕环的振荡
Oscillations of coronal loops using Rayleigh-Ritz technique
摘要：
本文应用瑞利-里兹变分法研究了磁通量管的横向振荡。在低$β$日冕条件下考虑通量管。将扰动分解为无旋分量和螺线管分量，并将MHD方程化为矩阵特征值问题。在纵向分层薄通量管的情况下，计算了基本和高阶扭折频率。这一结果与前人的研究结果相吻合。
英文摘要：
In this paper, we apply the Rayleigh-Ritz Variational Scheme for studying the transverse oscillations of a magnetic flux tube. The flux tube is considered in low-$β$ solar coronal condition. The perturbations decomposed into irrotational and solenoidal components and MHD equations are reduced as a matrix eigenvalue problem. In the case of longitudinally stratified thin flux tube, the fundamental and higher order kink frequencies are computed. The results are in good agreements with previous studies.
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