Kinematics

Consider the steady flow $\mathbf u = (x^2 - y^2, -2xy)$. (a) Show it is incompressible and find $\psi$. (b) Show it is irrotational and find $\phi$. (c) Compute the acceleration $\frac{D\mathbf u}{Dt}$ at $(1, 1)$. (d) Identify the complex potential.