Asymptotic study 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 the nonlinear exponential damping term $a(e^{b|u{|}^2}-1)u$, ($a,b>0$) studied by the second author in \cite{J1}.

14 pages. arXiv admin note: substantial text overlap with arXiv:2201.08292