Global solvability and large-time behavior to a three-dimensional chemotaxis-Stokes system modeling coral fertilization

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:483

Article

Li, Feng¹  Li, Yuxiang¹ 

[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

关键词: Chemotaxis;    Coral fertilization;    Global existence;    Large-time behavior;   

DOI  :  10.1016/j.jmaa.2019.123615

来源: Elsevier

【 摘 要 】

We consider the chemotaxis-Stokes system {n(t) + u . del n = Delta n -del . (n chi(c)del c) - mn, x is an element of Omega, t > 0, m(t) + u .del m = Delta m - nm, x is an element of Omega, t > 0, c(t) + u . del c = Delta c - c + m, x is an element of Omega, t > 0, u(t) = Delta u + del P + (n + m)del phi, x is an element of Omega, t > 0, del. u = 0, x is an element of Omega, t > 0 under homogenous Neumann boundary conditions in a three-dimensional bounded domain Omega subset of R-3 with smooth boundary. Here chi is a nondecreasing function on [0, infinity). It is shown that if K-0 chi(K-0) < root 2/27 with K-0 = max{parallel to c(0)parallel to(L infinity (Omega)), parallel to m(0)parallel to(L infinity-(Omega))}, then the system possesses a globally bounded classical solution. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free