Universality of global dynamics for the cubic wave equation

Details Universality of global dynamics for the cubic wave equation Universality of global dynamics for the cubic wave equation

2008-11-25

arxiv.org/abs/0811.3966v2

Nonlinearity 22:2473-2485,2009

Mathematics

Analysis of PDEs

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

Scientific paper

10.1088/0951-7715/22/10/009

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.

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