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In this paper, we study the long-time behavior of the chemotaxis-Navier–Stokes systemposed in a strip domain. In Peng-Xiang (Math. Models Methods Appl. Sci., 28 (2018), 869-920), the authors have established the global existence of strong solutions to this system with non-flux boundary conditions for  n  and  c  and non-slip boundary conditions for. Our main purpose is to establish the time-decay rates for such solutions. This will be done by using the anisotropicinterpolation and the iterative techniques.

The rates of convergence for the chemotaxis-Navier–Stokes equations in a strip domain