Dynamics of bubbling wave maps with prescribed radiation

  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},
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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  • M. Pillai
  • Mathematics
    Communications in Mathematical Physics
  • 2023
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  • 2022

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Construction of two-bubble solutions for energy-critical wave equations

  • Jacek Jendrej
  • Physics, Mathematics
    American Journal of Mathematics
  • 2019
Abstract:We construct pure two-bubbles for some energy-critical wave equations, that is solutions which in one time direction approach a superposition of two stationary states both centered at the

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