Asymptotic study of Leray solution of 3D-Navier-Stokes equations with exponential damping

Abstract

We study the uniqueness, the continuity in L2{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(eb∣u∣2−1)ua\left({e}^{b| u{| }^{{\bf{2}}}}-1)u, (a,b>0a,b\gt 0).

Keywords

• navier-stokes equations
• friedrich method
• global weak solution
• primary 35-xx
• 35q30
• 76d05
• 76n10