On collapse of wave maps

PHYSICA D-NONLINEAR PHENOMENA

卷:240

Article

Ovchinnikov, Yu N.^2,3  Sigal, I. M.¹ 

[1] Univ Toronto, Dept Math, Toronto, ON M5S 1A1, Canada

[2] LD Landau Theoret Phys Inst, Chernogolovka 142432, Russia

[3] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

关键词: Wave maps;    Sigma model;    Collapse;    Blowup;    Nonlinear wave equation;    Harmonic map;   

DOI  :  10.1016/j.physd.2011.04.014

来源: Elsevier

【 摘 要 】

We derive the universal collapse law of degree 1 equivariant wave maps (solutions of the sigma model) from the 2 + 1 Minkowski space-time, to the 2-sphere. To this end, we introduce a nonlinear transformation from original variables to blowup ones. Our formal derivations are confirmed by numerical simulations. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free