Divorticity and Dihelicity In Two-Dimensional Hydrodynamics
arXiv:0909.0239 · doi:10.1016/j.physleta.2010.03.062
Abstract
A framework is developed based on the concepts of {\it divorticity} ($\equiv\nabla\times\bfo$, $\bfo$ being the vorticity) and $\textit{dihelicity} g \lp \equiv\bfv\cdot\textbf{B}\rp$ for discussing the theoretical structure underlying two-dimensional (2D) hydrodynamics. This formulation leads to the global and Lagrange invariants that could impose significant constraints on the evolution of divorticity lines in 2D hydrodynamics.