Spinning Q-balls for the Klein-Gordon-Maxwell equations
type: Item
instance of: scholarly article
title: Spinning Q-balls for the Klein-Gordon-Maxwell equations
zbMATH Open document ID: 1194.78009
author: Vieri Benci
author: Donato Fortunato
published in: Communications in Mathematical Physics
publication date: 2010-04-15T00:00:00Z
review text: The paper deals with the nonlinear Klein-Gordon-Maxwell equations \(\frac{\partial^2\psi}{\partial t^2} - \nabla\psi +W'(\psi)=0\), where the nonlinear term \(W\) is assumed to be positive and \(W(0)=0\). The vortices in the nonlinear Klein-Gordon equation are often considered in the Physics literature with the name of spinning \(Q\)-balls. The main result of the paper is the proof of existence of spinning \(Q\)-balls for the nonlinear Klein-Gordon-Maxwell equations, that is, three-dimensional vortex-solutions which are finite energy, stationary solutions such that the matter field has a nontrivial angular momentum and the magnetic field looks like the field created by a finite solenoid.
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 47J30
Mathematics Subject Classification ID: 35J50
Mathematics Subject Classification ID: 81V10
zbMATH DE Number: 5693403
zbMATH Keywords: solitary wave
zbMATH Keywords: votrex
zbMATH Keywords: spinning Q-balls
zbMATH Keywords: Klein-Gordon equation
reviewed by: Dmitry Shepelsky
MaRDI profile type: Publication
full work available at URL: s00220-010-0985-z
OpenAlex ID: W2074142340
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DOI: 10.1007/S00220-010-0985-Z
description: scientific article; zbMATH DE number 5693403