论文标题
电子欧拉 - 波森系统的小振幅周期波的光谱不稳定
Spectral instability of small-amplitude periodic waves of the electronic Euler-Poisson system
论文作者
论文摘要
目前的工作表明,基本上所有小型振幅的周期性流动波在光谱上都是不稳定的。这种不稳定性既不是调节性的也不是共生的,因此需要异常的光谱分析,除了特定的计算外,还需要新设计的参数。当不稳定性发生时,还提供了有关背景波的幅度的生长速率。
The present work shows that essentially all small-amplitude periodic traveling waves of the electronic Euler-Poisson system are spectrally unstable. This instability is neither modulational nor co-periodic, and thus requires an unusual spectral analysis and, beyond specific computations, newly devised arguments. The growth rate with respect to the amplitude of the background waves is also provided when the instability occurs.