¡Nos trasladamos! E-Prints cerrará el 7 de junio.

En las próximas semanas vamos a migrar nuestro repositorio a una nueva plataforma con muchas funcionalidades nuevas. En esta migración las fechas clave del proceso son las siguientes:

Es muy importante que cualquier depósito se realice en E-Prints Complutense antes del 7 de junio. En caso de urgencia para realizar un depósito, se puede comunicar a docta@ucm.es.

Finite-time aggregation into a single point in a reaction-diffusion system



Downloads per month over past year

Herrero, Miguel A. and Medina Reus, Elena and Velázquez, J.J. L. (1997) Finite-time aggregation into a single point in a reaction-diffusion system. Nonlinearity, 10 (6). pp. 1739-1754. ISSN 0951-7715

[thumbnail of Herrero30.pdf] PDF
Restringido a Repository staff only


Official URL: http://iopscience.iop.org/0951-7715/10/6/016


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.

Item Type:Article
Uncontrolled Keywords:Chemotaxis; equations; singularities; clusters
Subjects:Sciences > Mathematics > Differential equations
ID Code:16970
Deposited On:05 Nov 2012 11:29
Last Modified:12 Dec 2018 15:08

Origin of downloads

Repository Staff Only: item control page