Homework Statement
Find acceleration for a general point (x, y) at time t, in the velocity field u = (y, t-x)
Homework Equations
Du/Dt = ∂u/∂t + (u⋅∇)u
The Attempt at a Solution
∂u/∂t = (0, 1)
(u⋅∇)u = [(y, t-x)⋅(∂/∂x, ∂/∂y)](y, t-x)
= (0 + 0)(y, t-x) = (0, 0)
Thus Du/Dt = ∂u/∂t +...