Global bounded solution of a 3D chemotaxis-Stokes system with slow p-Laplacian diffusion and logistic source

In this paper, the chemotaxis-Stokes system with slow p-Laplacian diffusion and logistic source as follows {n(t)+u & sdot;del n=del & sdot;(|del n|(p-2)del n-del & sdot;(n del c)+mu n(1-n), x is an element of Omega,t > 0, c(t)+u & sdot;del c=Delta c-cn, x is an element of Omega,t > 0, u(t)+del P=Delta u+n del Phi, x is an element of Omega,t > 0, del & sdot;u=0, x is an element of Omega,t > 0 was considered in a bounded domain Omega subset of R3 with smooth boundary under homogeneous Neumann-Neumann-Dirichlet boundary conditions. Subject to the effect of logistic source, we proved the system exists a global bounded weak solution for any p>2