Publicação
On Vanishing dissipative-dispersive perturbations of hyperbolic conservation laws
| Resumo: | In presence of linear diffusion and non-positive dispersion, we prove well-posedness of the nonlinear conservation equation u_t+f(u)_x=\eps u_xx -\del((u_xx)^2)_x. Then, as the right-hand perturbations vanish, we prove convergence of the previous solutions to the entropy weak solution of the hyperbolic conservation law u_t+f(u)_x=0. |
|---|---|
| Autores principais: | Correia, Joaquim M.C. |
| Outros Autores: | Bedjaoui, Nabil; Mammeri, Youcef |
| Assunto: | diffusion viscosity capillarity dissipation dispersion KdV equation Burgers’ equation hyperbolic conservation laws entropy measure-valued solutions |
| Ano: | 2015 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Évora |
| Idioma: | inglês |
| Origem: | Repositório Científico da Universidade de Évora |
| _version_ | 1878264010559717376 |
|---|---|
| author | Correia, Joaquim M.C. |
| author2 | Bedjaoui, Nabil Mammeri, Youcef |
| author2_role | author author |
| author_facet | Correia, Joaquim M.C. Bedjaoui, Nabil Mammeri, Youcef |
| author_role | author |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Correia, Joaquim M.C.\"},{\"Person.name\":\"Bedjaoui, Nabil\"},{\"Person.name\":\"Mammeri, Youcef\"}] |
| datacite.creators.creator.creatorName.fl_str_mv | Correia, Joaquim M.C. Bedjaoui, Nabil Mammeri, Youcef |
| datacite.date.Accepted.fl_str_mv | 2014-01-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2015-03-27T11:26:06Z |
| datacite.date.embargoed.fl_str_mv | 2015-03-27T11:26:06Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | diffusion viscosity capillarity dissipation dispersion KdV equation Burgers’ equation hyperbolic conservation laws entropy measure-valued solutions |
| datacite.titles.title.fl_str_mv | On Vanishing dissipative-dispersive perturbations of hyperbolic conservation laws |
| dc.creator.none.fl_str_mv | Correia, Joaquim M.C. Bedjaoui, Nabil Mammeri, Youcef |
| dc.date.Accepted.fl_str_mv | 2014-01-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2015-03-27T11:26:06Z |
| dc.date.embargoed.fl_str_mv | 2015-03-27T11:26:06Z |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/10174/13679 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | WSEAS Press |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | diffusion viscosity capillarity dissipation dispersion KdV equation Burgers’ equation hyperbolic conservation laws entropy measure-valued solutions |
| dc.title.fl_str_mv | On Vanishing dissipative-dispersive perturbations of hyperbolic conservation laws |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| description | In presence of linear diffusion and non-positive dispersion, we prove well-posedness of the nonlinear conservation equation u_t+f(u)_x=\eps u_xx -\del((u_xx)^2)_x. Then, as the right-hand perturbations vanish, we prove convergence of the previous solutions to the entropy weak solution of the hyperbolic conservation law u_t+f(u)_x=0. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | article |
| id | uevora_686aa9d64060ec587c16f061d7561353 |
| identifier.url.fl_str_mv | http://hdl.handle.net/10174/13679 |
| inst_facet_str | urn:organizationAcronym:uevora{{{_:::_}}}Universidade de Évora |
| instacron_str | uevora |
| institution | Universidade de Évora |
| instname_str | Universidade de Évora |
| language | eng |
| network_acronym_str | uevora |
| network_name_str | Repositório Científico da Universidade de Évora |
| oai_identifier_str | oai:dspace.uevora.pt:10174/13679 |
| organization_str_mv | urn:organizationAcronym:uevora |
| person_str_mv | Correia, Joaquim M.C. Bedjaoui, Nabil Mammeri, Youcef |
| publishDate | 2015 |
| publisher.none.fl_str_mv | WSEAS Press |
| repo_facet_str | urn:repositoryAcronym:uevora{{{_:::_}}}Repositório Científico da Universidade de Évora |
| reponame_str | Repositório Científico da Universidade de Évora |
| repository_id_str | urn:repositoryAcronym:uevora |
| service_str_mv | urn:repositoryAcronym:uevora |
| spelling | On Vanishing dissipative-dispersive perturbations of hyperbolic conservation lawsCorreia, Joaquim M.C.Bedjaoui, NabilMammeri, YoucefdiffusionviscositycapillaritydissipationdispersionKdV equationBurgers’ equationhyperbolic conservation lawsentropy measure-valued solutionsopen accesshttp://purl.org/coar/access_right/c_abf2http://hdl.handle.net/10174/13679HandleRecent Advances in Mechanical Engineering Series 11, pp. 13-18, ISBN: 978-960-474-402-2N/AHasVersion978-960-474-402-2N/AHasVersion2227-4596N/AHasVersionjmcorreia@uevora.ptN/AHasVersionndN/AHasVersionndN/AHasVersion334N/AHasVersionhttp://hdl.handle.net/10174/13679Handle2015-03-27T11:26:06Z2015-03-272014-01-01T00:00:00ZIn presence of linear diffusion and non-positive dispersion, we prove well-posedness of the nonlinear conservation equation u_t+f(u)_x=\eps u_xx -\del((u_xx)^2)_x. Then, as the right-hand perturbations vanish, we prove convergence of the previous solutions to the entropy weak solution of the hyperbolic conservation law u_t+f(u)_x=0.WSEAS Pressengjournal articlehttp://purl.org/coar/resource_type/c_6501literature |
| spellingShingle | On Vanishing dissipative-dispersive perturbations of hyperbolic conservation laws Correia, Joaquim M.C. diffusion viscosity capillarity dissipation dispersion KdV equation Burgers’ equation hyperbolic conservation laws entropy measure-valued solutions |
| status | SINGLETON |
| subject.fl_str_mv | diffusion viscosity capillarity dissipation dispersion KdV equation Burgers’ equation hyperbolic conservation laws entropy measure-valued solutions |
| title | On Vanishing dissipative-dispersive perturbations of hyperbolic conservation laws |
| title_full | On Vanishing dissipative-dispersive perturbations of hyperbolic conservation laws |
| title_fullStr | On Vanishing dissipative-dispersive perturbations of hyperbolic conservation laws |
| title_full_unstemmed | On Vanishing dissipative-dispersive perturbations of hyperbolic conservation laws |
| title_short | On Vanishing dissipative-dispersive perturbations of hyperbolic conservation laws |
| title_sort | On Vanishing dissipative-dispersive perturbations of hyperbolic conservation laws |
| topic | diffusion viscosity capillarity dissipation dispersion KdV equation Burgers’ equation hyperbolic conservation laws entropy measure-valued solutions |
| topic_facet | diffusion viscosity capillarity dissipation dispersion KdV equation Burgers’ equation hyperbolic conservation laws entropy measure-valued solutions |
| url | http://hdl.handle.net/10174/13679 |
| visible | 1 |
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