Connecting Olver [1983] with AFM [2006]

Thinking more about these conservation laws and the connection with the nonlocal formulation, consider a harmonic function \varphi in conjunction with the velocity potential \phi and the stream-function \psi.

It is straightforward to show that (x + i\eta)^n are indeed conserved densities in the sense of Olver, 1983.  But do these make sense?  Well this was an embarrassing mistake, but the formulation is still helpful!  Details follow below.

Continue reading “Connecting Olver [1983] with AFM [2006]”