Global bounded solution of a 3D chemotaxis-Stokes system with nonlinear doubly degenerate diffusion

PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Stokes and related (Oseen, etc.) flows (76D07) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Biopropulsion in water and in air (76Z10)

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