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TitleKinetic theory of simple reacting spheres : an application to coloring processes
Author(s)Carvalho, Filipe
Polewczak, Jacek
Soares, A. J.
KeywordsKinetic theory
Reactive systems
Linearized operator
Compactness properties
Chemically reacting mixtures
Linearized Boltzmann equation
Simple reacting spheres
Compact operators
Issue date2015
PublisherSpringer Verlag
JournalSpringer Proceedings in Mathematics & Statistics
CitationCarvalho, 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.
Abstract(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.
TypeConference paper
AccessOpen access
Appears in Collections:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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