Continuous time soliton resolution for two-bubble equivariant wave maps

We consider the energy-critical wave maps equation from 1+2 dimensional Minkowski space into 2-sphere, in equivariant case. prove that if a map decomposes, along sequence of times, superposition at most two rescaled harmonic (bubbles) and radiation, then such decomposition holds for continuous time. If equivariance degree equals one or two, we deduce, as consequence sequential soliton resolution results Cote, Jia Kenig, any topologically trivial with energy less than four times bubble asymptotically decomposes (at two) bubbles radiation.