Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/11231

TitleH-theorem and trend to equilibrium of chemically reacting mixture of gases
Author(s)Kremer, Gilberto M.
Oliveira, Filipe
Soares, A. J.
KeywordsBoltzmann equation
Chemically reactive gases
Trend to equilibrium
H-Theorem
Issue dateJun-2009
PublisherAmerican Institute of Mathematical Sciences (AIMS)
JournalKinetic and Related Models
Citation“Kinetic and Related Models”. ISSN 1937-5093. 2:2 (June 2009) 333-343.
Abstract(s)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.
TypeArticle
URIhttp://hdl.handle.net/1822/11231
DOI10.3934/krm.2009.2.333
ISSN1937-5093
1937-5077
Publisher versionhttp://aimsciences.org/journals/krm/contents.jsp
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

Files in This Item:
File Description SizeFormat 
AJSoares(B)_09.pdfDocumento principal (publicado).304,12 kBAdobe PDFView/Open

Partilhe no FacebookPartilhe no TwitterPartilhe no DeliciousPartilhe no LinkedInPartilhe no DiggAdicionar ao Google BookmarksPartilhe no MySpacePartilhe no Orkut
Exporte no formato BibTex mendeley Exporte no formato Endnote Adicione ao seu ORCID