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https://hdl.handle.net/1822/33776
Título: | Kinetic theory of simple reacting spheres : an application to coloring processes |
Autor(es): | Carvalho, Filipe Polewczak, Jacek Soares, A. J. |
Palavras-chave: | Kinetic theory Reactive systems Linearized operator Compactness properties Chemically reacting mixtures Linearized Boltzmann equation Simple reacting spheres Compact operators |
Data: | 2015 |
Editora: | Springer Verlag |
Revista: | Springer Proceedings in Mathematics & Statistics |
Citação: | Carvalho, F., Polewczak, J., & Soares, A. J. (2015). Kinetic theory of simple reacting spheres: An application to coloring processes. Paper presented at the Springer Proceedings in Mathematics and Statistics. |
Resumo(s): | We consider a simplified version of the kinetic model of simple reacting spheres (SRS) for a quaternary reactive mixture of hard-spheres in the dilute-gas limit. The model mimics a coloring process occurring with probability aR, described by the reversible chemical law A1 + A2 = A3 + A4. We provide the linearized collisional operators of our model and investigate some of their mathematical properties. In particular we obtain an explicit and symmetric representation of the elastic and reactive kernels and use this to prove the compactness of the linearized collisional operator in (L2(R^3))^4. |
Tipo: | Artigo em ata de conferência |
URI: | https://hdl.handle.net/1822/33776 |
ISBN: | 9783319166360 |
DOI: | 10.1007/978-3-319-16637-7_4 |
ISSN: | 2194-1009 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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FC_JP_AJS_PSPDESII.pdf | Versão dos Autores para a publicação | 191,94 kB | Adobe PDF | Ver/Abrir |