Global existence for a two-species chemotaxis-Navier-Stokes system with $ p $-Laplacian

Jiayi Han; Changchun Liu; Jiayi Han; Changchun Liu

doi:10.3934/era.2021050

Electronic Research Archive

2021, Volume 29, Issue 5: 3509-3533. doi: 10.3934/era.2021050

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Global existence for a two-species chemotaxis-Navier-Stokes system with $ p $-Laplacian

Jiayi Han ,
Changchun Liu ^,

Department of Mathematics, Jilin University, Changchun 130012, China

Received: 01 February 2021 Revised: 01 May 2021 Published: 22 July 2021
Primary: 92C17, 35K51; Secondary: 35K65, 35K92

We consider a two-species chemotaxis-Navier-Stokes system with $ p $-Laplacian in three-dimensional smooth bounded domains. It is proved that for any $ p\geq2 $, the problem admits a global weak solution.
- Chemotaxis-Navier-Stokes system,
- $ p $-Laplacian diffusion,
- global existence
Citation: Jiayi Han, Changchun Liu. Global existence for a two-species chemotaxis-Navier-Stokes system with $ p $-Laplacian[J]. Electronic Research Archive, 2021, 29(5): 3509-3533. doi: 10.3934/era.2021050

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Abstract

We consider a two-species chemotaxis-Navier-Stokes system with $ p $-Laplacian in three-dimensional smooth bounded domains. It is proved that for any $ p\geq2 $, the problem admits a global weak solution.

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