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 $SO\left(4\right)$ Yang-Mills problem. We derive sharp asymptotics on the dynamics at blow up time and prove quantization of the energy focused at the singularity.

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author = {Rapha\"el, Pierre and Rodnianski, Igor},
title = {Stable blow up dynamics for the critical co-rotational {Wave} {Maps} and equivariant {Yang-Mills} {Problems}},
journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
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publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
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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://www.numdam.org/item/SEDP_2008-2009____A22_0/

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