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论文类型：期刊论文

发表时间：2014-10-01

发表刊物：MATHEMATICAL METHODS IN THE APPLIED SCIENCES

收录刊物：SCIE、EI、ESI高被引论文、Scopus

卷号：37

期号：15

页面范围：2326-2330

ISSN号：0170-4214

关键字：quasilinear parabolic equations; cell movement (chemotaxis); Keller-Segel system; chemotaxis; global existence; logistic source

摘要：We study a quasilinear parabolic-elliptic Keller-Segel system involving a source term of logistic type u(t)=delta(phi(u)delta u)-delta(u delta v)+g(u),-v=-v+u in x(0,T), subject to nonnegative initial data and the homogeneous Neumann boundary condition in a bounded domain < subset of>Rn with smooth boundary, n1, >0, phi c(1)s(p) for ss(0)>1, and g(s)as-s(2) for s>0 with a,g(0)0, >0. There are three nonlinear mechanisms included in the chemotaxis model: the nonlinear diffusion, aggregation and logistic absorption. The interaction among the triple nonlinearities shows that together with the nonlinear diffusion, the logistic absorption will dominate the aggregation such that the unique classical solution of the system has to be global in time and bounded, regardless of the initial data, whenever , required by globally bounded solutions of the quasilinear K-S system without the logistic source. Copyright (c) 2013 John Wiley & Sons, Ltd.