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Universality of global dynamics for the cubic wave equation

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arxiv 0811.3966 v2 pith:3TA4LBRX submitted 2008-11-25 math.AP gr-qcmath-phmath.MP

Piotr Bizon , Anil Zenginoglu This is my paper · ORCID
classification math.APgr-qcmath-phmath.MP
keywords blowupcubicequationglobalwaveanalyticalattractorbehavior
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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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  1. Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay

    gr-qc 2026-08 conditional novelty 6.0 of 10

    Homothetic hyperboloidal coordinates give semilinear wave tails the same exponential decay rate at every compactified radius, removing the late-time resolution bottleneck.

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