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arXiv:0811.3966 [math.AP]AbstractReferencesReviewsResources

Universality of global dynamics for the cubic wave equation

Piotr Bizon, Anil Zenginoglu

Published 2008-11-25, updated 2009-09-10Version 2

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 behavior at the threshold of blowup.

Comments: 13 pages, 15 figures. Uses IOP-style. Updated to conform with published version
Journal: Nonlinearity 22:2473-2485,2009
Categories: math.AP, gr-qc, math-ph, math.MP
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