Result: Equivariant wave maps exterior to a ball
Title:
Equivariant wave maps exterior to a ball
Authors:
Source:
Nonlinearity (Bristol. Print). 25(5):1299-1309
Publisher Information:
Bristol: Institute of Physics, 2012.
Publication Year:
2012
Physical Description:
print, 15 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Géométrie, Geometry, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Analyse globale, analyse sur des variétés, Global analysis, analysis on manifolds, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Probabilités et statistiques numériques, Numerical methods in probability and statistics, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Divers, Other topics in mathematical methods in physics, Analyse non linéaire, Nonlinear analysis, análisis no lineal, Application harmonique, Harmonic map, Aplicación armónica, Degré topologique, Topological degree, Grado topológico, Dispersion, Dispersión, Dissipation, Energie, Energy, Energía, Méthode analytique, Analytical method, Método analítico, Méthode mixte, Mixed method, Método mixto, Méthode numérique, Numerical method, Método numérico, Physique mathématique, Mathematical physics, Física matemática, Problème Cauchy, Cauchy problem, Problema Cauchy, Problème Dirichlet, Dirichlet problem, Problema Dirichlet, Relaxation, Relajación, Résolution, Resolution, Soliton, Solitón, Sphère, Sphere, Esfera, Unicité solution, Solution uniqueness, Unicidad solución, 35Q51, 37K40, 51B20, 58E20, 65C20, 65K15, Application equivariante, Equivariant map, Solution asymptotique, Asymptotic solution, Solution statique
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Institute of Physics, Jagiellonian University, Kraków, Poland
Institute of Nuclear Physics, Polish Academy of Sciences, Kraków, Poland
Cracow University of Technology, Kraków, Poland
Institute of Nuclear Physics, Polish Academy of Sciences, Kraków, Poland
Cracow University of Technology, Kraków, Poland
ISSN:
0951-7715
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Theoretical physics
Theoretical physics
Accession Number:
edscal.25877419
Database:
PASCAL Archive
Further Information
We consider the exterior Cauchy―Dirichlet problem for equivariant wave maps from 3 + 1 dimensional Minkowski spacetime into the three sphere. Using mixed analytical and numerical methods we show that, for a given topological degree of the map, all solutions starting from smooth finite energy initial data converge to the unique static solution (harmonic map). The asymptotics of this relaxation process is described in detail. We hope that our model will provide an attractive mathematical setting for gaining insight into dissipation-by-dispersion phenomena, in particular the soliton resolution conjecture.