Global weak solution for a chemotaxis Navier–Stokes system with [formula omitted]-Laplacian diffusion and singular sensitivity

Abstract

In this paper, we consider a chemotaxis-Navier–Stokes system with p-Laplacian diffusion and singular sensitivity in a bounded convex domain Ω⊂R3 with smooth boundary. It is shown that under an appropriate hypothesis for p and δ, there exists a locally bounded global weak solution of the corresponding initial–boundary problem.