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Título:
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Remarks on accessible steady states for some coagulation-fragmentation systems
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Autores:
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Herrero, Miguel A. ;
Rodrigo, Marianito R.
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Tipo de documento:
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texto impreso
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Editorial:
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American Institute of Mathematical Sciences, 2007-03
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Materia = Ciencias Biomédicas: Medicina: Hematología
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Tipo = Artículo
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Resumen:
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In this paper we consider some systems of ordinary differential equations which are related to coagulation-fragmentation processes. In particular, we obtain explicit solutions {c(k)(t)} of such systems which involve certain coefficients obtained by solving a suitable algebraic recurrence relation. The coefficients are derived in two relevant cases: the high-functionality limit and the Flory-Stockmayer model. The solutions thus obtained are polydisperse (that is, c(k)(0) is different from zero for all k >= 1) and may exhibit monotonically increasing or decreasing total mass. We also solve a monodisperse case (where c(1)(0) is different from zero but c(k)(0)is equal to zero for all k >= 2) in the high-functionality limit. In contrast to the previous result, the corresponding solution is now shown to display a sol-gel transition when the total initial mass is larger than one, but not when such mass is less than or equal to one.
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En línea:
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https://eprints.ucm.es/id/eprint/16325/1/Herrero13.pdf
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