Talk:Enstrophy

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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)[reply]

Fofonoff flows?

How about relating Enstrophy to Fofonoff gyres^[1] (Fofonoff flows, Fofonoff states)? David spector (talk) 22:30, 4 January 2010 (UTC)[reply]

References

^ Non-linear hydrodynamic stability of oceanic flows, R. Purini, E. Salusti, 4 December 1984

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)[reply]

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)[reply]

[1] Non-linear hydrodynamic stability of oceanic flows, R. Purini, E. Salusti, 4 December 1984

[1]