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Type: Artigo de periódico
Title: Existence and asymptotic behaviour for the parabolic-parabolic Keller-Segel system with singular data
Author: Ferreira, LCF
Precioso, JC
Abstract: This work considers the Keller-Segel system of parabolic-parabolic type in R(n) for n >= 2. We prove existence results in a new framework and with initial data in N(r,lambda,infinity)(-beta) x (B) over dot(infinity,infinity)(0). This initial data class is larger than the previous ones, e.g., Kozono-Sugiyama (2008 Indiana Univ. Math. J. 57 1467-500) and Biler (1998 Adv. Math. Sci. Appl. 8 715-43), and covers physical cases of initial aggregation at points (Diracs) and on filaments. Self-similar solutions are obtained for initial data with the correct homogeneity and a certain value of parameter gamma. We also show an asymptotic behaviour result, which provides a basin of attraction around each self-similar solution.
Country: Inglaterra
Editor: Iop Publishing Ltd
Citation: Nonlinearity. Iop Publishing Ltd, v. 24, n. 5, n. 1433, n. 1449, 2011.
Rights: fechado
Identifier DOI: 10.1088/0951-7715/24/5/003
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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