Long Time Decay of Leray Solution of 3D-NSE With Exponential Damping

Abstract

We study the uniqueness, the continuity in $L^2$ and the large time decay for the Leray solutions of the $3D$ incompressible Navier-Stokes equations with nonlinear exponential damping term $a(e^{b|u{|}^4}-1)u$, ($a,b>0$).