  In this sequel to a previous paper, we construct certain smooth strongly
polyconvex functions $F$ on $\mathbb M^{2\times 2}$ such that $\sigma=DF$
satisfies the Condition (OC) in that paper. As a result, we show that the
initial-boundary value problem for the gradient flow of such polyconvex energy
functionals is highly ill-posed even for some smooth initial-boundary data in
the sense that the problem possesses a weakly* convergent sequence of Lipschitz
weak solutions whose limit is not a weak solution.
