Communications in Mathematical Physics

, Volume 338, Issue 3, pp 1443–1450 | Cite as

Generic Self-Similar Blowup for Equivariant Wave Maps and Yang–Mills Fields in Higher Dimensions

Open Access


We consider equivariant wave maps from the (d+1)-dimensional Minkowski spacetime into the d-sphere for d ≥ 4. We find a new explicit stable self-similar solution and give numerical evidence that it plays the role of a universal attractor for generic blowup. An analogous result is obtained for the SO(d) symmetric Yang–Mills field for d ≥ 6.


Blowup Time Smooth Initial Data Universal Attractor Dimensional Minkowski Spacetime Heun Function 
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© The Author(s) 2015

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Institute of PhysicsJagiellonian UniversityKrakówPoland
  2. 2.Max Planck Institute for Gravitational Physics (Albert Einstein Institute)GolmGermany
  3. 3.Mathematisches InstitutUniversität BonnBonnGermany

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