文献详情
An optimal result for global existence and boundedness in a three-dimensional Keller-Segel-Stokes system with nonlinear diffusion
文献类型：期刊
通讯作者：Zheng, JS (reprint author), Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Peoples R China.
期刊名称：JOURNAL OF DIFFERENTIAL EQUATIONS影响因子和分区
年：2019
卷：267
期：4
页码：2385-2415
ISSN：0022-0396
关键词：Boundedness; Stokes system; Keller-Segel model; Global existence; Nonlinear diffusion
摘要：This paper investigates the following Keller-Segel-Stokes system with nonlinear diffusion {n(t) + u . del n = Delta n(m) - del . (n del c), x is an element of Omega , t > 0, c(t) + u . del c = Delta c - c + n, x is an element of Omega, t > 0, u(t) + del P = Delta u + n del phi, x is an element of Omega, t > 0, del . u = 0, x is an element of Omega, t > 0 under homogeneous boundary conditions of Neumann type for n and c, and of Dirichlet type for u in a three-dimensional bounded domains Ome ...More
This paper investigates the following Keller-Segel-Stokes system with nonlinear diffusion {n(t) + u . del n = Delta n(m) - del . (n del c), x is an element of Omega , t > 0, c(t) + u . del c = Delta c - c + n, x is an element of Omega, t > 0, u(t) + del P = Delta u + n del phi, x is an element of Omega, t > 0, del . u = 0, x is an element of Omega, t > 0 under homogeneous boundary conditions of Neumann type for n and c, and of Dirichlet type for u in a three-dimensional bounded domains Omega subset of R-3 with smooth boundary, where phi is an element of W-2,W-infinity (Omega), m > 0. It is 4 proved that if m > 4/3 , then for any sufficiently regular nonnegative initial data there exists at least one global boundedness solution for system (K S F), which in view of the known results for the fluid-free system mentioned below (see Introduction) is an optimal restriction on m. (C) 2019 Elsevier Inc. All rights reserved. ...Hide

DOI：10.1016/j.jde.2019.03.013
百度学术：An optimal result for global existence and boundedness in a three-dimensional Keller-Segel-Stokes system with nonlinear diffusion
语言：外文
被引频次：4
基金：National Natural Science Foundation of ChinaNational Natural Science Foundation of China [11601215]; Shandong Provincial Science Foundation for Outstanding Youth [ZR2018JL005]; Shandong Provincial Natural Science Foundation of ChinaNatural Science Foundation of Shandong Province [ZR2016AQ17]; Doctor Start-up Funding of Ludong University [LA2016006]
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