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arXiv · 0811.3966

Universality of global dynamics for the cubic wave equation

Piotr Bizon·Anil Zenginoglu
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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.

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Piotr Bizon, Anil Zenginoglu. 2009-09-10. Universality of global dynamics for the cubic wave equation. https://doi.org/10.1088/0951-7715%2F22%2F10%2F009

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