Stabilization in a two-dimensional attraction-repulsion Stokes system with consumption of chemoattractant (Q2210728)

A fully parabolic chemotaxis system with two chemicals coupled with the Stokes system is considered in two-dimensional bounded domains. The main result is the global-in-time existence of a unique classical solution to the initial-boundary value problem with homogeneous Neumann conditions. Moreover, this solution converges to a space-homogeneous steady state in the \(L^\infty\) norm.