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

Chengxin Du; Changchun Liu

doi:10.3934/cpaa.2021162

Article Contents

2021, Volume 20, Issue 12: 4321-4345. Doi: 10.3934/cpaa.2021162

This issue Previous Article Local well-posedness for the Zakharov system in dimension

$ d = 2, 3 $

Next Article Semilinear Schrödinger evolution equations with inverse-square and harmonic potentials via pseudo-conformal symmetry

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

Chengxin Du and
Changchun Liu^,

Department of Mathematics, Jilin University, Changchun 130012, China

^* Corresponding author
^* Corresponding author

Received: March 31, 2021

Revised: July 31, 2021

Early access: September 2021

Published: December 2021

This work is supported by the Jilin Scientific and Technological Development Program (no. 20210101466JC)

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Abstract

In this paper, we consider a two-species chemotaxis-Stokes system with $ p $-Laplacian diffusion in two-dimensional smooth bounded domains. It is proved that the existence of time periodic solution for any $ \frac{15}{7}\leq p<3 $ and any large periodic source $ g_1(x,t) $ and $ g_2(x,t) $.

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Mathematics Subject Classification: Primary: 92C17, 35B10; Secondary: 35K65, 35Q35.

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