Re: the list is quiet...

Date: Sat, 23 Sep 1995 11:14:43 -0700
From: Seamus O'Morain <seamus@MATH1.CIMS.NYU.EDU>
Reply to: quantum-d@teleport.com
To: quantum-d@teleport.com
Subject: QUANTUM-D: Re: the list is quiet - no worries!

If it is quiet in what sense is it quiet, we all subscribed and that may 
have had a still indefinite affect on our thinking, I sat through a 
lecture yesterday at Courant from Majda on how the apparently local 
partial differential equations of the Navier-Stokes equations are easily 
transformed into non-local equations in the vorticity. The constraint 
that the divergence of the velocity flow is zero can be used to eliminate 
the pressure and create a non-local set equation involving the curl of 
the velocity vector-field, called the vorticity field.  I remember too 
vaguely a restraint in one of the formulations of QM which may allow the 
equations to be written in a non-local form. Majda claimed that the 
advantage of rewriting the Navier-Stokes Eqns. this way is to make clear 
the interactions of the whole fluid on the behaviour. Perhaps a similar 
conclusion for the pde formulations of QM is equally valid and not 
something to consider unique to QM.

 	Thank you Rhett, by the way, for establishing this list, and 
hello all.
						Seamus