Solution
= Solution
For uniform vertical <vorticity>, advection vanishes and $(\omega\cdot\nabla)u=\alpha\omega\hat z$, hence $\dot\omega=\alpha(t)\omega$.
= Solution
For uniform vertical <vorticity>, advection vanishes and $(\omega\cdot\nabla)u=\alpha\omega\hat z$, hence $\dot\omega=\alpha(t)\omega$.