Note on late-time tails of spherical nonlinear waves

2008/04/06 by Piotr Bizoń, Tadeusz Chmaj, Andrzej Rostworowski · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #gr-qc #math-ph #math.MP

paper · pdf · doi:10.1103/physrevd.78.024044

published as Phys.Rev.D78:024044,2008 · 7 pages

arxiv created 2008/04/06 · openalex publication_date 2008/07/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider the longtime behavior of small amplitude solutions of the semilinear wave equation \ensuremath\square\ensuremathφ=\ensuremathφ^p in odd d\ensuremath≥5 spatial dimensions. We show that for the quadratic nonlinearity (p=2) the tail has an anomalously small amplitude and fast decay. The extension of the results to more general nonlinearities involving first derivatives is also discussed.

Cited by

• Late-time tails of wave maps coupled to gravity
• Late-time tails of a self-gravitating massless scalar field, revisited