Existence and decay of solutions in full space to Navier–Stokes equations with delays Original Research Article

We consider the Navier–Stokes equations with delays in Rn,2≤n≤4Rn,2≤n≤4. We prove existence of weak solutions when the external forces contain some hereditary characteristics and uniqueness when n=2n=2. Moreover, if the external forces satisfy a time decay condition we show that the solution decays at an algebraic rate.