Global classical solutions to the 3D Nordström-Vlasov system

Detalhes bibliográficos
Autor(a) principal: Calogero, Simone
Data de Publicação: 2006
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/5472
Resumo: The Nordström-Vlasov system describes the kinetic evolution of self-gravitating collisionless matter in the framework of a relativistic scalar theory of gravitation. We prove global existence and uniqueness of classical solutions for the corresponding initial value problem in three dimensions when the initial data for the scalar field are smooth and the initial particle density is smooth with compact support.
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spelling Global classical solutions to the 3D Nordström-Vlasov systemCauchy problemClassical solutionsNon-linear wave equationKinetic theoryScience & TechnologyThe Nordström-Vlasov system describes the kinetic evolution of self-gravitating collisionless matter in the framework of a relativistic scalar theory of gravitation. We prove global existence and uniqueness of classical solutions for the corresponding initial value problem in three dimensions when the initial data for the scalar field are smooth and the initial particle density is smooth with compact support.HYKE European Network - Contract nr. HPRN-CT-2002-00282.Research Council of Norway - Project nr. 160192/v30.SpringerUniversidade do MinhoCalogero, Simone2006-092006-09-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/5472eng"Communications in Mathematical Physics". ISSN 0010-3616. 266:2 (2006) 343-354.0010-361610.1007/s00220-006-0029-xThe original publication is available at www.springerlink.comhttp://www.springerlink.com/content/48123360ml74g878/fulltext.pdfinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:19:40Zoai:repositorium.sdum.uminho.pt:1822/5472Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:12:38.779110Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Global classical solutions to the 3D Nordström-Vlasov system
title Global classical solutions to the 3D Nordström-Vlasov system
spellingShingle Global classical solutions to the 3D Nordström-Vlasov system
Calogero, Simone
Cauchy problem
Classical solutions
Non-linear wave equation
Kinetic theory
Science & Technology
title_short Global classical solutions to the 3D Nordström-Vlasov system
title_full Global classical solutions to the 3D Nordström-Vlasov system
title_fullStr Global classical solutions to the 3D Nordström-Vlasov system
title_full_unstemmed Global classical solutions to the 3D Nordström-Vlasov system
title_sort Global classical solutions to the 3D Nordström-Vlasov system
author Calogero, Simone
author_facet Calogero, Simone
author_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Calogero, Simone
dc.subject.por.fl_str_mv Cauchy problem
Classical solutions
Non-linear wave equation
Kinetic theory
Science & Technology
topic Cauchy problem
Classical solutions
Non-linear wave equation
Kinetic theory
Science & Technology
description The Nordström-Vlasov system describes the kinetic evolution of self-gravitating collisionless matter in the framework of a relativistic scalar theory of gravitation. We prove global existence and uniqueness of classical solutions for the corresponding initial value problem in three dimensions when the initial data for the scalar field are smooth and the initial particle density is smooth with compact support.
publishDate 2006
dc.date.none.fl_str_mv 2006-09
2006-09-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/5472
url http://hdl.handle.net/1822/5472
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Communications in Mathematical Physics". ISSN 0010-3616. 266:2 (2006) 343-354.
0010-3616
10.1007/s00220-006-0029-x
The original publication is available at www.springerlink.com
http://www.springerlink.com/content/48123360ml74g878/fulltext.pdf
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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