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Time periodic solution to a two-species chemotaxis-Stokes system with $ p $-Laplacian diffusion
Author(s) -
Chengxin Du,
Changchun Liu
Publication year - 2021
Publication title -
communications on pure andamp applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2021162
Subject(s) - bounded function , combinatorics , mathematics , laplace operator , mathematical analysis
In this paper, we consider a two-species chemotaxis-Stokes system with \begin{document}$ p $\end{document} -Laplacian diffusion in two-dimensional smooth bounded domains. It is proved that the existence of time periodic solution for any \begin{document}$ \frac{15}{7}\leq p<3 $\end{document} and any large periodic source \begin{document}$ g_1(x,t) $\end{document} and \begin{document}$ g_2(x,t) $\end{document} .

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