Kawasaki dynamics in the continuum via generating functionals evolution

Detalhes bibliográficos
Autor(a) principal: Finkelshtein, Dmitri L.
Data de Publicação: 2012
Outros Autores: Kondratiev, Yuri G., Oliveira, Maria João
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/2143
Resumo: We construct the time evolution of Kawasaki dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, which leads to a local (in time) solution. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well.
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spelling Kawasaki dynamics in the continuum via generating functionals evolutionGenerating functionalKawasaki dynamicsInteracting particle systemContinuous systemOvsjannikov's methodVlasov scalingWe construct the time evolution of Kawasaki dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, which leads to a local (in time) solution. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well.Institute of Mathematics, National Academy of Sciences of UkraineRepositório AbertoFinkelshtein, Dmitri L.Kondratiev, Yuri G.Oliveira, Maria João2012-07-27T08:09:27Z20122012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/2143engFinkelshtein, D. L.; Kondratiev, Y. G.; Oliveira, M. J. - Kawasaki dynamics in the continuum via generating functionals evolution. "Methods of Functional Analysis and Topology" [Em linha]. ISSN 1029-3531. Vol. 18, nº 1 (2012), p.55-671029-3531info: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:RCAAP2023-11-16T15:15:34Zoai:repositorioaberto.uab.pt:10400.2/2143Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:43:44.389991Repositório 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 Kawasaki dynamics in the continuum via generating functionals evolution
title Kawasaki dynamics in the continuum via generating functionals evolution
spellingShingle Kawasaki dynamics in the continuum via generating functionals evolution
Finkelshtein, Dmitri L.
Generating functional
Kawasaki dynamics
Interacting particle system
Continuous system
Ovsjannikov's method
Vlasov scaling
title_short Kawasaki dynamics in the continuum via generating functionals evolution
title_full Kawasaki dynamics in the continuum via generating functionals evolution
title_fullStr Kawasaki dynamics in the continuum via generating functionals evolution
title_full_unstemmed Kawasaki dynamics in the continuum via generating functionals evolution
title_sort Kawasaki dynamics in the continuum via generating functionals evolution
author Finkelshtein, Dmitri L.
author_facet Finkelshtein, Dmitri L.
Kondratiev, Yuri G.
Oliveira, Maria João
author_role author
author2 Kondratiev, Yuri G.
Oliveira, Maria João
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Finkelshtein, Dmitri L.
Kondratiev, Yuri G.
Oliveira, Maria João
dc.subject.por.fl_str_mv Generating functional
Kawasaki dynamics
Interacting particle system
Continuous system
Ovsjannikov's method
Vlasov scaling
topic Generating functional
Kawasaki dynamics
Interacting particle system
Continuous system
Ovsjannikov's method
Vlasov scaling
description We construct the time evolution of Kawasaki dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, which leads to a local (in time) solution. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well.
publishDate 2012
dc.date.none.fl_str_mv 2012-07-27T08:09:27Z
2012
2012-01-01T00:00:00Z
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/10400.2/2143
url http://hdl.handle.net/10400.2/2143
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Finkelshtein, D. L.; Kondratiev, Y. G.; Oliveira, M. J. - Kawasaki dynamics in the continuum via generating functionals evolution. "Methods of Functional Analysis and Topology" [Em linha]. ISSN 1029-3531. Vol. 18, nº 1 (2012), p.55-67
1029-3531
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 Institute of Mathematics, National Academy of Sciences of Ukraine
publisher.none.fl_str_mv Institute of Mathematics, National Academy of Sciences of Ukraine
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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
repository.mail.fl_str_mv
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