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Large time periodic solution to the coupled chemotaxis‐Stokes model
Author(s) -
Jin Chunhua
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201600180
Subject(s) - mathematics , chemotaxis , dimension (graph theory) , mathematical analysis , pure mathematics , receptor , biochemistry , chemistry
In this paper, we deal with the time periodic problem for the coupled chemotaxis‐fluid model with logistic growth term. We prove the existence of large time periodic solution in spatial dimension N = 3 . Furthermore, we also show that if the time periodic source g and the potential force ∇ φ belong toC α , α 2( Ω ¯ × R ) , the solution is also a classical solution.