The initial-value problem for the Kelvin-Helmholtz instabilities of high-velocity and magnetized shear layers
The initial-value problem for the Kelvin-Helmholtz instabilities of high-velocity and magnetized shear layers
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DOI：
10.1090/qam/1417229
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发表时间：
1996-12
影响因子：
0.8
通讯作者：
S. R. Choudhury
中科院分区：
文献类型：
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作者：
S. R. Choudhury
研究了任意可压缩速度剪切层的线性Kelvin-Helmholtz不稳定性的一般初值问题。用拉普拉斯变换技术处理表征层的物理量的时间演化。利用Fuchs-Frobenius理论对所得方程进行奇点分析，得到大时渐近解。在线性理论中，发现不稳定性仍然是平动对流或剪切型的。没有发生旋转或涡旋运动，即“相干结构”的形成。
The general initial-value problem for the linear Kelvin-Helmholtz instability of arbitrarily compressible velocity shear layers is considered for both the unmagnetized and magnetized cases. The time evolution of the physical quantities characterizing the layer is treated using Laplace transform techniques. Singularity analysis of the resulting equations using Fuchs-Frobenius theory yields the large-time asymptotic solutions. The instability is found to remain, within the linear theory, of the translationally convective or shear type. No onset of rotational or vortex motion, i.e., formation of "coherent structures" occurs.