Abstract
This article concerns a two-dimensional Keller-Segel-Navier-Stokes system with porous medium diffusion and rotational flux describing the coral fertilization. Based on the Gagliardo-Nerenberg inequality and an energy-type argument, we show that, in the context of the nonlinear diffusions of sperm and eggs with index m>1 and l>0, the corresponding initial-boundary value problem possesses at least one global bounded weak solution.
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