Time periodic solution to a two-species chemotaxis-Stokes system with porous medium diffusion

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Abstract

In this paper, we considered a two-species chemotaxis-Stokes system with porous medium diffusion ∆n^m 1 in two-dimensional smooth bounded domains. We proved the existence of a time peri- odic solution for any m ≥⁶ 5 and any large periodic sources g¹(x,t) and g²(x,t).

Keywords

two-species chemotaxis-Stokes system / time periodic solution / double-level approximation

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