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Universality of global dynamics for the cubic wave equation

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Published 10 September 2009 • 2009 IOP Publishing Ltd and London Mathematical Society
, , Citation Piotr Bizoń and Anıl Zenginoğlu 2009 Nonlinearity 22 2473 DOI 10.1088/0951-7715/22/10/009

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Author affiliations

1 M. Smoluchowski Institute of Physics, Jagiellonian University, Kraków, Poland

2 Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Golm, Germany

3 Department of Physics, Center for Scientific Computation and Mathematical Modeling, University of Maryland, College Park, MD 20742, USA

Dates

  1. Received 26 November 2008
  2. Published

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0951-7715/22/10/2473

Abstract

We consider the initial value problem for the spherically symmetric, focusing cubic wave equation in three spatial dimensions. We give numerical and analytical evidence for the existence of a universal attractor which encompasses both global and blowup solutions. As a byproduct we get an explicit description of the critical behaviour at the threshold of blowup.

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10.1088/0951-7715/22/10/009