Articles

Document Type

Journal article (JA)

Title

Decay estimate of solutions to the coupled chemotaxis–fluid equations in R3

Author

Tan, Zhong(1); Zhou, Jianfeng(2)

Address

(1) School of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling and Scientific Computing, Xiamen University, Xiamen; 361005, China; (2) School of Mathematical Sciences, Xiamen University, Xiamen; 361005, China

RPAddress

Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China.

Email


ResearchID


ORCID


Journal

Nonlinear Analysis: Real World Applications

Publisher

Elsevier Ltd

ISSN

14681218

Published

201810, 43:323347.

JCR

1

ImpactFactor

1.659

ISBN


Fund_Code

National Natural Science Foundation of China [11271305, 11531010]; China Scholarship Council [201706310012]

HYMC


HYDD


HYKSRQ


HYJSRQ


HYLWLB


HYJB


Keywords

Banach spaces  Biochemistry  Decay (organic)  Partial differential equations  Sobolev spaces  Transport properties

Abstract

We are concerned with a model arising from biology, which is coupled system of the chemotaxis equations and the viscous incompressible fluid equations through transport and external forcing. We study the large time behavior of solutions near a constant states to the chemotaxisNavier–Stokes system in R3. Appealing to a pure energy method, we first obtain a global existence theorem by assuming that the H3norm of the initial data is small, but the higher order derivatives can be arbitrary large. If the initial data belongs to homogeneous Sobolev norms H?s(0≤s2,∞?s(0p?L2(1≤p≤2) type of the decay rates without requiring that the Lpnorm of initial data is small. ? 2018 Elsevier Ltd

WOS Categories

Mathematics, Applied

Accession Number

WOS:000433655300016

UT

20181404969431

DOI

10.1016/j.nonrwa.2018.01.006

ESI_Type

MATHEMATICS

Collection

SCIE, EI

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