反向旋转涡丝对中的驻波
Standing waves in a counter-rotating vortex filament pair
摘要：
根据[15]中导出的模型，两个反向旋转的涡丝之间的距离满足梁型方程。该方程有一个显式解，其中两个直丝以恒定速度在恒定距离处行进。细丝的边界条件是2 $π$ -周期的。使用作为分叉参数的细丝的距离，无限数量的分支的周期性驻波分叉从这个初始配置与恒定的合理的频率沿每个分支。
英文摘要：
The distance among two counter-rotating vortex filaments satisfies a beam-type of equation according to the model derived in [15]. This equation has an explicit solution where two straight filaments travel with constant speed at a constant distance. The boundary condition of the filaments is 2$π$-periodic. Using the distance of the filaments as bifurcating parameter, an infinite number of branches of periodic standing waves bifurcate from this initial configuration with constant rational frequency along each branch.
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。
