Stable blow up dynamics for the critical co-rotational Wave Maps and equivariant Yang-Mills Problems
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2008-2009), Exposé no. 22, 12 p.

This note summarizes the results obtained in [30]. We exhibit stable finite time blow up regimes for the energy critical co-rotational Wave Map with the 𝕊 2 target in all homotopy classes and for the equivariant critical SO(4) Yang-Mills problem. We derive sharp asymptotics on the dynamics at blow up time and prove quantization of the energy focused at the singularity.

Raphaël, Pierre 1 ; Rodnianski, Igor 2

1 Institut de Mathématiques de Toulouse Université Toulouse III France
2 Mathematics Department Princeton University USA
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Raphaël, Pierre; Rodnianski, Igor. Stable blow up dynamics for the critical co-rotational Wave Maps and equivariant Yang-Mills Problems. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2008-2009), Exposé no. 22, 12 p. http://archive.numdam.org/item/SEDP_2008-2009____A22_0/

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