Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2017-12-01

Journal: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Included Journals: SCIE、Scopus

Volume: 22

Issue: 10

Page Number: 3663-3669

ISSN: 1531-3492

Key Words: Chemotaxis; global boundedness; singular sensitivity

Abstract: 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.