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论文类型：期刊论文

发表时间：2015-04-01

发表刊物：NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

收录刊物：SCIE、EI、Scopus

卷号：116

页面范围：1-18

ISSN号：0362-546X

关键字：Keller-Segel model; Degenerate diffusion; Nonlocal aggregation; Global existence; Blow-up

摘要：In this paper, we study the degenerate Keller-Segel equation with nonlocal aggregation u(t) = Delta u(m) -del. (uB(u)) in R-d x R+, where m > 1, d >= 3, and B(u) = Delta((-del)(-beta/2) u) with beta is an element of [ 2, d). By analyzing the interaction between the degenerate diffusion and the nonlocal aggregation, we determine the conditions for initial data under which weak solutions globally exist or blow up in finite time with m is an element of (1, d+v/d) .v = d - beta sharper criterion is given for global existence and finite time blow-up of weak solutions with m in the subrange (2d/2d-v, d broken vertical bar v/d) subset of (1, d broken vertical bar v/d) d). (C) 2014 Elsevier Ltd. All rights reserved.