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
1468-1218
Published
2018-10, 43:323-347.
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 chemotaxis-Navier–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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