Abstract
In this paper, we prove the global existence of incompressible Navier-Stokes equations with damping
, where we use the Friedrich method and some new tools. The delicate problem in the construction of a global solution is the passage to the limit in exponential nonlinear term. To solve this problem, we use a polynomial approximation of the damping part and a new type of interpolation between
and the space of functions
such that
. Fourier analysis and standard techniques are used.