Global existence and boundedness in a chemotaxis-Stokes system with arbitrary porous medium diffusion

摘要

In this short paper, we establish the global existence and boundedness of solutions to the initial-boundary value problem of a chemotaxis-Stokes system with porous-medium-like cell diffusion Delta n(m) for all adiabatic exponents m>1. Our result extend the corresponding result under the constraint m is an element of(32,2].