Generalization of 3D-NSE Global Weak Solution with damping

Abstract

In this paper, we prove the global existence, uniqueness and the continuity in $L^2$ of the incompressible Navier-Stokes equations with damping $f(|u|)u$, where $f$ is an increasing, convex and differentiable function on ${\mathbb{R}}^{+}$, null at zero.