{ "id": "0811.3966", "version": "v2", "published": "2008-11-25T06:42:03.000Z", "updated": "2009-09-10T22:41:07.000Z", "title": "Universality of global dynamics for the cubic wave equation", "authors": [ "Piotr Bizon", "Anil Zenginoglu" ], "comment": "13 pages, 15 figures. Uses IOP-style. Updated to conform with published version", "journal": "Nonlinearity 22:2473-2485,2009", "doi": "10.1088/0951-7715/22/10/009", "categories": [ "math.AP", "gr-qc", "math-ph", "math.MP" ], "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.", "revisions": [ { "version": "v2", "updated": "2009-09-10T22:41:07.000Z" } ], "analyses": { "keywords": [ "global dynamics", "universality", "focusing cubic wave equation", "initial value problem", "spatial dimensions" ], "tags": [ "journal article" ], "publication": { "journal": "Nonlinearity", "year": 2009, "month": "Oct", "volume": 22, "number": 10, "pages": 2473 }, "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "inspire": 809641, "adsabs": "2009Nonli..22.2473B" } } }