带电导电液体射流平衡位形的精确解
Exact solutions for equilibrium configurations of charged conducting liquid jets
摘要：
一类广泛的精确解的问题找到的平衡配置的带电射流的导电液体，这些配置对应于有限振幅的方位角变形的表面的圆形射流。确定了线电荷密度的一个临界值，此时射流表面变为自相交，射流一分为二。它超过了激发圆射流线性方位不稳定性所需的密度值。因此，存在一系列的线性电荷密度值，我们的解决方案可能是稳定的，相对于小的方位角扰动。
英文摘要：
A wide class of exact solutions is obtained for the problem of finding the equilibrium configurations of charged jets of a conducting liquid; these configurations correspond to the finite-amplitude azimuthal deformations of the surface of a round jet. A critical value of the linear electric charge density is determined, for which the jet surface becomes self-intersecting, and the jet splits into two. It exceeds the density value required for the excitation of the linear azimuthal instability of the round jet. Hence, there exists a range of linear charge density values, where our solutions may be stable with respect to small azimuthal perturbations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
