Development of singularities of the Skyrme model

Autor:	Michael McNulty
Rok vydání:	2020
Předmět:	Physics Sigma model General Mathematics Nonlinear system Mathematics - Analysis of PDEs Nonlinear wave equation FOS: Mathematics Equivariant map Field theory (psychology) Development (differential geometry) Gravitational singularity Analysis Analysis of PDEs (math.AP) Mathematical physics
Zdroj:	Journal of Hyperbolic Differential Equations. 17:61-73
ISSN:	1793-6993 0219-8916
DOI:	10.1142/s0219891620500022
Popis:	The Skyrme model is a geometric field theory and a quasilinear modification of the Nonlinear Sigma Model (Wave Maps). In this paper we study the development of singularities for the equivariant Skyrme Model, in the strong-field limit, where the restoration of scale invariance allows us to look for self-similar blow-up behavior. After introducing the Skyrme Model and reviewing what's known about formation of singularities in equivariant Wave Maps, we prove the existence of smooth self-similar solutions to the $5+1$-dimensional Skyrme Model in the strong-field limit, and use that to conclude that the solution to the corresponding Cauchy problem blows up in finite time, starting from a particular class of everywhere smooth initial data. 13 pages, 3 figures, fixed typos, minor modifications
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2712eef8796be1a06e10a761865d6bd0 https://doi.org/10.1142/s0219891620500022 Zobrazit plný text záznamu