Universality of global dynamics for the cubic wave equation

Bizon, Piotr; Zenginoglu, Anil

doi:10.1088/0951-7715/22/10/009

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Universality of global dynamics for the cubic wave equation

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Zenginoglu, Anil
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Bizon, P., & Zenginoglu, A. (2009). Universality of global dynamics for the cubic wave equation. Nonlinearity, 22(10), 2473-2485. doi:10.1088/0951-7715/22/10/009.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-646E-C

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.