标题： 不可压缩流体速度矢量势的动力学 显示英文标题

标题： On dynamics of velocity vector potential in incompressible fluids

摘要： 对于流体力学中速度矢量势的拉格朗日输运方程，给出了一个优雅的四元数公式。 首先我们研究了受限制的守恒量——流线螺旋度的拓扑意义，之后确定了更现实的开放流线配置。 此外，利用速度矢量势的Clebsch参数化，为流线螺旋度提供了另一种物理意义。 最后，我们给出了速度矢量势的拉格朗日输运方程的Nambu-Poisson形式。 显示英文摘要

摘要： An elegant quaternionic formulation is given for the Lagrangian advection equation for velocity vector potential in fluid dynamics. At first we study the topological significance of a restricted conserved quantity viz., stream-helicity and later more realistic configuration of open streamlines is figured out. Also, using Clebsch parameterisation of the velocity vector potential yet another physical significance for the stream-helicity is provided. Finally we give a Nambu-Poisson formalism of the Lagrangian advection equation for velocity vector potential.