Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/58224
Título: | From the simple reacting sphere kinetic model to the reaction-diffusion system of Maxwell-Stefan type |
Autor(es): | Anwasia, Benjamin Gonçalves, Patrícia Soares, A. J. |
Palavras-chave: | Boltzmann-type equations Chemically reactive mixtures Diffusion limit Kinetic theory of gases Maxwell-Stefan equations |
Data: | 2019 |
Editora: | International Press |
Revista: | Communications in Mathematical Sciences |
Resumo(s): | In this paper we perform a formal asymptotic analysis on a kinetic model for reactive mixtures in order to derive a reaction-diffusion system of Maxwell-Stefan type. More specifically, we start from the kinetic model of simple reacting spheres for a quaternary mixture of monatomic ideal gases that undergoes a reversible chemical reaction of bimolecular type. Then, we consider a scaling describing a physical situation in which mechanical collisions play a dominant role in the evolution process, while chemical reactions are slow, and compute explicitly the production terms associated to the concentration and momentum balance equations for each species in the reactive mixture. Finally, we prove that, under the isothermal assumption, the limit equations for the scaled kinetic model is the reaction diffusion system of Maxwell-Stefan type. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/58224 |
DOI: | 10.4310/CMS.2019.v17.n2.a9 |
ISSN: | 1539-6746 |
e-ISSN: | 1945-0796 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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AJSoares_BA_PG_CMS.pdf | 446,27 kB | Adobe PDF | Ver/Abrir |