On the solution of the steady-state dual-porosity-Navier-Stokes fluid flow model with the Beavers-Joseph-Saffman interface condition

In this work, through constructing an auxiliary problem totally driven by the fluid velocity (free flow region) along interface, we propose a new analysis strategy to establish priori estimate of weak solutions steady-state dual-porosity-Navier-Stokes model with Beavers-Joseph-Saffman interface condition. As result, both and existence result are independent small data large viscosity restriction. Finally, prove global uniqueness solution.