Talk:Enstrophy

Simpler explanation?
Is there a simpler intuitive explanation available? Most folks don't speak fluid mechanics this fluently. David spector (talk) 22:20, 4 January 2010 (UTC)

Fofonoff flows?
How about relating Enstrophy to Fofonoff gyres (Fofonoff flows, Fofonoff states)? David spector (talk) 22:30, 4 January 2010 (UTC)

Sloppy still
I tried to clean this page up a little, but the given definition is pretty weak. The definition starts with 2D incompressible flows and ends with 3D general flows, for instance. I have tried to clarify this, but it is still pretty rough. For instance, a definition for a 3D incompressible flow would be nice. is it as simple as $$ \int_S |\eta|^2\,ds ? $$ I don't know enough to be sure.

And enstrophy is described as a continuous linear operator. Really? If this is linear on either the velocity of the vorticity, I'll eat my hat. Perhaps it is continuous, though. On what space? Is H1(S) adequate? Are boundary conditions necessary? As an integral operator, perhaps it is compact? And is any of this so important that it belongs in a general definition?

Even more basic, one should clarify that it is a surface-integral. This also is important if one wants to keep the formula for higher dimensions, which then should be a volume integral. — Preceding unsigned comment added by 138.246.2.252 (talk) 08:38, 13 May 2015 (UTC)

Someone who knows more fluid dynamics than I do needs to make these calls. — Preceding unsigned comment added by 173.49.181.126 (talk) 23:50, 3 January 2012 (UTC)