Wang, LingzhuXie, Li2021-10-042021-10-042020-09-16Wang, L., & Xie, L. (2020). Existence of global weak solutions for a two-dimensional Keller-Segel-Navier-Stokes system with porous medium diffusion and rotational flux. <i>Electronic Journal of Differential Equations, 2020</i>(94), pp. 1-26.1072-6691https://hdl.handle.net/10877/14601This 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.Text26 pages1 file (.pdf)enAttribution 4.0 InternationalKeller-Segel-Navier-Stokes systemNonlinear diffusionTensor-valued sensitivityGlobal solutionArticle