点击次数：

论文类型：期刊论文

发表时间：2017-12-01

发表刊物：DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

收录刊物：Scopus、SCIE

卷号：22

期号：10

页面范围：3663-3669

ISSN号：1531-3492

关键字：Chemotaxis; global boundedness; singular sensitivity

摘要：In this paper we study the global boundedness of solutions to the fully parabolic chemotaxis system with singular sensitivity: u(t) = Delta(u) - chi del.(u/v del v), v(t) = k Delta v - v+u, subject to homogeneous Neumann boundary conditions in a bounded and smooth domain Omega subset of R-n (n >= 2), where x, k > 0. It is shown that the solution is globally bounded provided 0 < chi < -(k-1)+root(k-1)(2)+8k/n /2, This result removes the additional restriction of n <= 8 in Zhao, Zheng [15] for the global boundedness of solutions.