Clebsch parameterization: Basic properties and remarks on its applications

Z. Yoshida
2009 Journal of Mathematical Physics  
The Clebsch parameterization $(u=\nabla\varphi+\alpha\nabla\beta)$ has advantages in elucidating structural properties of vector fields; for example, it helps formulating the Hamiltonian form of ideal fluid mechanics, representing topological constraints (Casimir invariants), integrating the Cauchy characteristics of vortex fields, etc.
doi:10.1063/1.3256125 fatcat:envcwr34hbgddfovt37fet77gy