Abstract
We investigate in the paper the initial boundary value problem of the two dimensional incompressible Navier-Stokes-Darcy system in a strip domain. It is shown that, without any small initial data assumption, the Navier-Stokes-Darcy equations have a unique global strong solution in the strip domain with a flat interface. The key is to establish the global-in-time regularity uniformly by pursuing the properties of Dirichlet-Neumann operator.
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