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Universality of global dynamics for the cubic wave equation

arXiv:0811.3966 · doi:10.1088/0951-7715/22/10/009

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 behavior at the threshold of blowup.

13 pages, 15 figures. Uses IOP-style. Updated to conform with published version