In this paper we study the lateral instability in a discharge channel using a continuum model. We observe analogies with the onset of Kelvin-Helmholz instability in fluids. In strong electric fields, lateral long wave length perturbations can grow while small wave length perturbations diminish during the discharge evolution. We perform numerical simulations and carry out asymptotic analysis of the instability.

中文翻译：

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排放通道中的横向不稳定性

在本文中，我们使用连续模型研究放电通道中的横向不稳定性。我们观察到流体中开尔文-海姆霍兹（Kelvin-Helmholz）不稳定性发生的类比。在强电场中，横向长波扰动会增加，而在放电过程中小波扰动会减小。我们执行数值模拟并进行不稳定性的渐近分析。