  Using channel of energy inequalities developed by T.Duyckaerts, C.Kenig and
F.Merle, we prove that, modulo a free radiation, any finite energy radial
solution to the defocusing energy critical wave equation with radial potential
in 3 + 1 dimensions converges to the set of steady states as time goes to
infinity. For generic potentials we prove there are only finitely many steady
states, and in this case modulo some free radiation the solution converges to
one steady state as time goes to infinity.
