English

Divorticity and Dihelicity In Two-Dimensional Hydrodynamics

Fluid Dynamics 2015-05-14 v2 Atmospheric and Oceanic Physics

Abstract

A framework is developed based on the concepts of {\it divorticity} B{\textbf B}(×\bfo\equiv\nabla\times\bfo, \bfo\bfo being the vorticity) and dihelicityg\lp\bfvB\rp\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.

Keywords

Cite

@article{arxiv.0909.0239,
  title  = {Divorticity and Dihelicity In Two-Dimensional Hydrodynamics},
  author = {B. K. Shivamoggi and G. J. F. van Heijst and J. Juul Rasmussen},
  journal= {arXiv preprint arXiv:0909.0239},
  year   = {2015}
}
R2 v1 2026-06-21T13:41:17.611Z