Self-similar blow-up for a reaction-diffusion system
type: Item
instance of: scholarly article
title: Self-similar blow-up for a reaction-diffusion system
zbMATH Open document ID: 0934.35066
DOI: 10.1016/S0377-0427(98)00104-6
published in: Journal of Computational and Applied Mathematics
publication date: 1999-10-05T00:00:00Z
review text: The authors investigate a reaction-diffusion system which describes several phenomena in which aggregation plays a crucial role. They show that the system has radial solutions with finite mass which blow-up in finite time in a self-similar manner for the case of a 3-dimensional space, but no such solution exists in the 2-dimensional case.
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 1326416
zbMATH Keywords: radial solutions with finite mass
author: Miguel A. Herrero
author: Elena Medina
author: Juan J. Velázquez
reviewed by: Huaiyu Jian
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1326416