# Dynamics of bubbling wave maps with prescribed radiation

@article{Jendrej2019DynamicsOB,
title={Dynamics of bubbling wave maps with prescribed radiation},
author={Jacek Jendrej and Andrew Lawrie and Casey Rodriguez},
journal={Annales scientifiques de l'{\'E}cole Normale Sup{\'e}rieure},
year={2019}
}
• Published 22 August 2019
• Mathematics
• Annales scientifiques de l'École Normale Supérieure
We study energy critical one-equivariant wave maps taking values in the two-sphere. It is known that any finite energy wave map that develops a singularity does so by concentrating the energy of (possibly) several copies of the ground state harmonic map at the origin. If only a single bubble of energy is concentrated, the solution decomposes into a dynamically rescaled harmonic map plus a term that accounts for the energy that radiates away from the singularity. In this paper, we construct blow…
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