Abstract
A framework is developed based on the concepts of divorticity B ( ≡ ∇ × ω , ω being the vorticity) and dihelicity g ( ≡ v ⋅ B ) 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.
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