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Título:
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Finite-time aggregation into a single point in a reaction-diffusion system
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Autores:
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Herrero, Miguel A. ;
Medina Reus, Elena ;
Velázquez, J.J. L.
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Tipo de documento:
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texto impreso
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Editorial:
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IOP publishing ltd, 1997-11
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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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Tipo = Artículo
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Resumen:
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We consider the following system: [GRAPHICS] which has been used as a model for various phenomena, including motion of species by chemotaxis and equilibrium of self-attracting clusters. We show that, in space dimension N = 3, (S) possess radial solutions that blow-up in a finite time. The asymptotic behaviour of such solutions is analysed in detail. In particular, we obtain that the profile of any such solution consists of an imploding, smoothed-out shock wave that collapses into a Dine mass when the singularity is formed. The differences between this type of behaviour and that known to occur for blowing-up solutions of (S) in the case N = 2 are also discussed.
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En línea:
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https://eprints.ucm.es/id/eprint/16970/1/Herrero30.pdf
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