scholarly journals Time periodic solution to a two-species chemotaxis-Stokes system with $ p $-Laplacian diffusion

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Chengxin Du ◽  
Changchun Liu

<p style='text-indent:20px;'>In this paper, we consider a two-species chemotaxis-Stokes system with <inline-formula><tex-math id="M2">\begin{document}$ p $\end{document}</tex-math></inline-formula>-Laplacian diffusion in two-dimensional smooth bounded domains. It is proved that the existence of time periodic solution for any <inline-formula><tex-math id="M3">\begin{document}$ \frac{15}{7}\leq p&lt;3 $\end{document}</tex-math></inline-formula> and any large periodic source <inline-formula><tex-math id="M4">\begin{document}$ g_1(x,t) $\end{document}</tex-math></inline-formula> and <inline-formula><tex-math id="M5">\begin{document}$ g_2(x,t) $\end{document}</tex-math></inline-formula>.</p>

2018 ◽  
Vol 98 (13) ◽  
pp. 2454-2463 ◽  
Author(s):  
Haochuan Huang ◽  
Jingxue Yin ◽  
Chunhua Jin

2010 ◽  
Vol 24 (17) ◽  
pp. 1877-1882 ◽  
Author(s):  
MING SHEN

In this letter, we present a family of plane symmetric solutions for the radiating gravitational field which satisfy the weak and dominant energy conditions. An example is given according to the general form. We show that the example is a space–time-periodic solution which may have some relations with the new physical phenomena.


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