  The fluid/gravity correspondence establishes how gravitational dynamics, as
dictated by Einstein's field equations, are related to the fluid dynamics,
governed by the relativistic Navier-Stokes equations. In this work the
correspondence is extended, where the duality between incompressible fluids and
gravitational backgrounds with soft hair excitations is implemented. This
construction is set through appropriate boundary conditions to the
gravitational background, leading to a correspondence between generalized
incompressible Navier-Stokes equations and soft hairy horizons.
