Utilize este identificador para referenciar este registo: http://hdl.handle.net/1822/33776

TítuloKinetic theory of simple reacting spheres : an application to coloring processes
Autor(es)Carvalho, Filipe
Polewczak, Jacek
Soares, A. J.
Palavras-chaveKinetic theory
Reactive systems
Linearized operator
Compactness properties
Chemically reacting mixtures
Linearized Boltzmann equation
Simple reacting spheres
Compact operators
EditoraSpringer Verlag
RevistaSpringer Proceedings in Mathematics & Statistics
CitaçãoCarvalho, 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.
Arbitragem científicayes
Aparece nas coleções:CMAT - Comunicações com arbitragem/Communications with refereeing

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