郑斯宁

个人信息Personal Information

教授

博士生导师

硕士生导师

性别:男

毕业院校:吉林大学

学位:博士

所在单位:数学科学学院

学科:基础数学

办公地点:创新园大厦 A1032

电子邮箱:snzheng@dlut.edu.cn

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GLOBAL BOUNDEDNESS OF SOLUTIONS TO A KELLER-SEGEL SYSTEM WITH NONLINEAR SENSITIVITY

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论文类型:期刊论文

发表时间:2016-06-01

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

收录刊物:SCIE

卷号:21

期号:4

页面范围:1317-1327

ISSN号:1531-3492

关键字:Chemotaxis; Keller-Segel system; boundedness; nonlinear sensitivity

摘要:This paper considers the parabolic-parabolic Keller-Segel system with nonlinear sensitivity u(t) = Delta u - del(u(alpha)del v), v(t) = Delta v - v+u, subject to homogeneous Neumann boundary conditions with smooth and bounded domain Omega subset of R-n , n >= 1. It is proved that if alpha >= max{1, 2/n}, then the solutions are globally bounded, and both the components u and v decay to the same constant steady state (u) over bar0 = 1/vertical bar Omega vertical bar integral(Omega) u(0)(x)dx exponentially in the L-infinity-norm provided both parallel to u(0)parallel to L-q*((Omega)) and parallel to del v(0)parallel to(Lp)* ((Omega)) small enough with q* = n alpha K/n+K, p* = n alpha K/n+K-n alpha, K is an element of [n, 2n alpha - n] boolean AND ((alpha - 1)n, infinity).