On a Limit of Perturbed Conservation Laws with Diffusion and Non-Positive Dispersion

Detalhes bibliográficos
Autor(a) principal: Bedjaoui, Nabil
Data de Publicação: 2016
Outros Autores: Correia, Joaquim M.C., Mammeri, Youcef
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/20009
https://doi.org/DOI: http://dx.doi.org/10.4310/CMS.2016.v14.n6.a2
Resumo: We consider a conservation law perturbed by a linear diffusion and a general form of non-positive dispersion. We prove the convergence of the corresponding solution to the entropy weak solution of the hyperbolic conservation law.
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spelling On a Limit of Perturbed Conservation Laws with Diffusion and Non-Positive DispersiondiffusiondispersionKdV equationBurgers’ equationhyperbolic conservation lawsentropy measure-valued solutionsWe consider a conservation law perturbed by a linear diffusion and a general form of non-positive dispersion. We prove the convergence of the corresponding solution to the entropy weak solution of the hyperbolic conservation law.N/A2016 International Press, Commun. Math. Sci., Vol. 14, No. 6, pp. 1501-1516, ISSN: 1539-67462017-01-24T15:11:13Z2017-01-242016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/20009https://doi.org/DOI: http://dx.doi.org/10.4310/CMS.2016.v14.n6.a2http://hdl.handle.net/10174/20009https://doi.org/DOI: http://dx.doi.org/10.4310/CMS.2016.v14.n6.a2engNabil Bedjaoui, Joaquim M.C. Correia, Youcef Mammeri; On a limit of perturbed conservation laws with diffusion and non-positive dispersion, Commun. Math. Sci. (2016), Vol. 14, No. 6, pp. 1501-1516, ISSN: 1539-6746ndjmcorreia@uevora.ptnd334Bedjaoui, NabilCorreia, Joaquim M.C.Mammeri, Youcefinfo:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-03T19:09:37Zoai:dspace.uevora.pt:10174/20009Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:11:34.477952Repositório 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 On a Limit of Perturbed Conservation Laws with Diffusion and Non-Positive Dispersion
title On a Limit of Perturbed Conservation Laws with Diffusion and Non-Positive Dispersion
spellingShingle On a Limit of Perturbed Conservation Laws with Diffusion and Non-Positive Dispersion
Bedjaoui, Nabil
diffusion
dispersion
KdV equation
Burgers’ equation
hyperbolic conservation laws
entropy measure-valued solutions
title_short On a Limit of Perturbed Conservation Laws with Diffusion and Non-Positive Dispersion
title_full On a Limit of Perturbed Conservation Laws with Diffusion and Non-Positive Dispersion
title_fullStr On a Limit of Perturbed Conservation Laws with Diffusion and Non-Positive Dispersion
title_full_unstemmed On a Limit of Perturbed Conservation Laws with Diffusion and Non-Positive Dispersion
title_sort On a Limit of Perturbed Conservation Laws with Diffusion and Non-Positive Dispersion
author Bedjaoui, Nabil
author_facet Bedjaoui, Nabil
Correia, Joaquim M.C.
Mammeri, Youcef
author_role author
author2 Correia, Joaquim M.C.
Mammeri, Youcef
author2_role author
author
dc.contributor.author.fl_str_mv Bedjaoui, Nabil
Correia, Joaquim M.C.
Mammeri, Youcef
dc.subject.por.fl_str_mv diffusion
dispersion
KdV equation
Burgers’ equation
hyperbolic conservation laws
entropy measure-valued solutions
topic diffusion
dispersion
KdV equation
Burgers’ equation
hyperbolic conservation laws
entropy measure-valued solutions
description We consider a conservation law perturbed by a linear diffusion and a general form of non-positive dispersion. We prove the convergence of the corresponding solution to the entropy weak solution of the hyperbolic conservation law.
publishDate 2016
dc.date.none.fl_str_mv 2016-01-01T00:00:00Z
2017-01-24T15:11:13Z
2017-01-24
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/10174/20009
https://doi.org/DOI: http://dx.doi.org/10.4310/CMS.2016.v14.n6.a2
http://hdl.handle.net/10174/20009
https://doi.org/DOI: http://dx.doi.org/10.4310/CMS.2016.v14.n6.a2
url http://hdl.handle.net/10174/20009
https://doi.org/DOI: http://dx.doi.org/10.4310/CMS.2016.v14.n6.a2
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Nabil Bedjaoui, Joaquim M.C. Correia, Youcef Mammeri; On a limit of perturbed conservation laws with diffusion and non-positive dispersion, Commun. Math. Sci. (2016), Vol. 14, No. 6, pp. 1501-1516, ISSN: 1539-6746
nd
jmcorreia@uevora.pt
nd
334
dc.rights.driver.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.publisher.none.fl_str_mv 2016 International Press, Commun. Math. Sci., Vol. 14, No. 6, pp. 1501-1516, ISSN: 1539-6746
publisher.none.fl_str_mv 2016 International Press, Commun. Math. Sci., Vol. 14, No. 6, pp. 1501-1516, ISSN: 1539-6746
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
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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
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