Publicação
H-theorem and trend to equilibrium of chemically reacting mixture of gases
| Resumo: | The trend to equilibrium of a quaternary mixture of monatomic gases undergoing a reversible reaction of bimolecular type is studied in a quite rigorous mathematical picture within the framework of Boltzmann equation extended to chemically reacting mixture of gases. The H-theorem and entropy inequality allow to prove two main results under the assumption of uniformly boundedness and equicontinuity of the distribution functions. One of the results establishes the tendency of a reacting mixture to evolve to an equilibrium state as time becomes large. The other states that the solution of the Boltzmann equation for chemically reacting mixture of gases converges in strong L1-sense to its equilibrium solution. |
|---|---|
| Autores principais: | Kremer, Gilberto M. |
| Outros Autores: | Oliveira, Filipe; Soares, A. J. |
| Assunto: | Boltzmann equation Chemically reactive gases Trend to equilibrium H-Theorem |
| Ano: | 2009 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| _version_ | 1867439290015809536 |
|---|---|
| author | Kremer, Gilberto M. |
| author2 | Oliveira, Filipe Soares, A. J. |
| author2_role | author author |
| author_facet | Kremer, Gilberto M. Oliveira, Filipe Soares, A. J. |
| author_role | author |
| contributor_name_str_mv | RepositóriUM - Universidade do Minho |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Kremer, Gilberto M.\"},{\"Person.name\":\"Oliveira, Filipe\"},{\"Person.name\":\"Soares, A. J.\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | RepositóriUM - Universidade do Minho |
| datacite.creators.creator.creatorName.fl_str_mv | Kremer, Gilberto M. Oliveira, Filipe Soares, A. J. |
| datacite.date.Accepted.fl_str_mv | 2009-06-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2010-12-13T15:18:10Z |
| datacite.date.embargoed.fl_str_mv | 2010-12-13T15:18:10Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | Boltzmann equation Chemically reactive gases Trend to equilibrium H-Theorem |
| datacite.titles.title.fl_str_mv | H-theorem and trend to equilibrium of chemically reacting mixture of gases |
| dc.contributor.none.fl_str_mv | RepositóriUM - Universidade do Minho |
| dc.creator.none.fl_str_mv | Kremer, Gilberto M. Oliveira, Filipe Soares, A. J. |
| dc.date.Accepted.fl_str_mv | 2009-06-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2010-12-13T15:18:10Z |
| dc.date.embargoed.fl_str_mv | 2010-12-13T15:18:10Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | https://hdl.handle.net/1822/11231 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | American Institute of Mathematical Sciences (AIMS) |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | Boltzmann equation Chemically reactive gases Trend to equilibrium H-Theorem |
| dc.title.fl_str_mv | H-theorem and trend to equilibrium of chemically reacting mixture of gases |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| description | The trend to equilibrium of a quaternary mixture of monatomic gases undergoing a reversible reaction of bimolecular type is studied in a quite rigorous mathematical picture within the framework of Boltzmann equation extended to chemically reacting mixture of gases. The H-theorem and entropy inequality allow to prove two main results under the assumption of uniformly boundedness and equicontinuity of the distribution functions. One of the results establishes the tendency of a reacting mixture to evolve to an equilibrium state as time becomes large. The other states that the solution of the Boltzmann equation for chemically reacting mixture of gases converges in strong L1-sense to its equilibrium solution. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | article |
| fulltext.url.fl_str_mv | https://repositorium.uminho.pt/bitstreams/bda68c74-e6f3-4f58-97f6-a710dc660bd2/download |
| id | rum_c5c843bedf6e4d7f2bf36ac376ff79fe |
| identifier.url.fl_str_mv | https://hdl.handle.net/1822/11231 |
| instacron_str | repositorium |
| institution | Universidade do Minho |
| instname_str | Universidade do Minho |
| language | eng |
| network_acronym_str | rum |
| network_name_str | RepositóriUM - Universidade do Minho |
| oai_identifier_str | oai:repositorium.uminho.pt:1822/11231 |
| organization_str_mv | urn:organizationAcronym:repositorium |
| person_str_mv | Kremer, Gilberto M. Oliveira, Filipe Soares, A. J. |
| publishDate | 2009 |
| publisher.none.fl_str_mv | American Institute of Mathematical Sciences (AIMS) |
| reponame_str | RepositóriUM - Universidade do Minho |
| repository_id_str | urn:repositoryAcronym:rum |
| service_str_mv | urn:repositoryAcronym:rum |
| spelling | engAmerican Institute of Mathematical Sciences (AIMS)porThe trend to equilibrium of a quaternary mixture of monatomic gases undergoing a reversible reaction of bimolecular type is studied in a quite rigorous mathematical picture within the framework of Boltzmann equation extended to chemically reacting mixture of gases. The H-theorem and entropy inequality allow to prove two main results under the assumption of uniformly boundedness and equicontinuity of the distribution functions. One of the results establishes the tendency of a reacting mixture to evolve to an equilibrium state as time becomes large. The other states that the solution of the Boltzmann equation for chemically reacting mixture of gases converges in strong L1-sense to its equilibrium solution.application/pdfporH-theorem and trend to equilibrium of chemically reacting mixture of gasesKremer, Gilberto M.Oliveira, FilipeSoares, A. J.HostingInstitutionOrganizationalRepositóriUM - Universidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptCITATION“Kinetic and Related Models”. ISSN 1937-5093. 2:2 (June 2009) 333-343.ISSNIsPartOf1937-5093ISSNIsPartOf1937-5077DOIIsPartOf10.3934/krm.2009.2.3332010-12-13T15:18:10Z2009-062009-06-01T00:00:00ZHandlehttps://hdl.handle.net/1822/11231http://purl.org/coar/access_right/c_abf2open accessBoltzmann equationChemically reactive gasesTrend to equilibriumH-Theorem311418 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal articlehttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorium.uminho.pt/bitstreams/bda68c74-e6f3-4f58-97f6-a710dc660bd2/download |
| spellingShingle | H-theorem and trend to equilibrium of chemically reacting mixture of gases Kremer, Gilberto M. Boltzmann equation Chemically reactive gases Trend to equilibrium H-Theorem |
| status | SINGLETON |
| subject.fl_str_mv | Boltzmann equation Chemically reactive gases Trend to equilibrium H-Theorem |
| title | H-theorem and trend to equilibrium of chemically reacting mixture of gases |
| title_full | H-theorem and trend to equilibrium of chemically reacting mixture of gases |
| title_fullStr | H-theorem and trend to equilibrium of chemically reacting mixture of gases |
| title_full_unstemmed | H-theorem and trend to equilibrium of chemically reacting mixture of gases |
| title_short | H-theorem and trend to equilibrium of chemically reacting mixture of gases |
| title_sort | H-theorem and trend to equilibrium of chemically reacting mixture of gases |
| topic | Boltzmann equation Chemically reactive gases Trend to equilibrium H-Theorem |
| topic_facet | Boltzmann equation Chemically reactive gases Trend to equilibrium H-Theorem |
| url | https://hdl.handle.net/1822/11231 |
| visible | 1 |