Recent content by Stuart_M

Thank you for your reply and for the table. I am not sure I am able to see the link with my question with differential forms, though. Is there a way to phrase the momentum per unit volume (or the energy per unit volume) as a differential form? If so, can we say that this form satisfies the...

Consider a fluid flow with density ##\rho=\rho(t,x)## and velocity vector ##v=v(t,x)##. Assume it satisfies the continuity equation $$ \partial_t \rho + \nabla \cdot (\rho v) = 0. $$ We now that, by Reynolds Transport Theorem (RTT), this implies that the total mass is conserved $$...