LogFAQs > #876559162

Oh, my original question was conceptual about the calculus involved, it changed as I was typing up the post.

LordoftheMorons posted...

Is there some other equation you have relating p to u, v, w?

Uh, basically it's vectors. V and P can be broken down into i, j, and k components with u, v, and w as the unit vectors.

so here are two other equations...

V(x, y, z, t) = iu(x, y, z, t) + jv(x, y, z, t) + kw(x, y, z, t)

a = dV/dt = pV/pt + (u*pV/px + v*pV/py + w*pV/pz)

Where p/p(x,y,z,t) is the partial derivative

That last one is also written as

a = dV/dt = pV/pt + (del * V)V

where the del operator is u*p/px + v*p/py + w*p/pz

(u*pV/px + v*pV/py + w*pV/pz) is called the convective acceleration.

Anyway, my original conceptual question had to do with taking the time derivative of a definite integral, u-bar. It just returns the original function, right?
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*slurps yakisoba* *nods*
*nods*