Título:
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Self-similar blow-up for 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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Elsevier Science BV, 1998-09-24
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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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This work is concerned with the following system: [GRAPHICS] which is a model to describe several phenomena in which aggregation plays a crucial role as, for instance, motion of bacteria by chemotaxis and equilibrium of self-attracting clusters. When the space dimension N is equal to three, we show here that (S) has radial solutions with finite mass that blow-up in finite time in a self-similar manner. When N = 2, however, no radial solution with finite mass may give rise to self-similar blow-up.
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En línea:
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https://eprints.ucm.es/id/eprint/16946/1/Herrero28.pdf
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