Global Well-Posedness of the Navier-Stokes-Darcy System in 3D Horizontally Infinite Strip Domain

We are concerned with the initial boundary value problem of the Navier-Stokes-Darcy system in a 3D strip domain. The global well-posedness of the strong solution is shown in the strip domain with a flat interface separating incompressible fluid and porous medium flow. In addition, some exponential decay rates are established. The analysis is based on interpolation estimates and structure of the equations. It is worth mentioning that the property of Dirichlet-Neumann operator plays a key role in the proof.