Cai, Xiaojing; Lei, Lihua \(L^2\) decay of the incompressible Navier-Stokes equations with damping. (English) Zbl 1240.35379 Acta Math. Sci., Ser. B, Engl. Ed. 30, No. 4, 1235-1248 (2010). Summary: In this article, we show large time behavior of weak solutions to the Cauchy problem of the Navier-Stokes equations with damping \(\alpha|u|^{\beta-1}u\) \((\alpha>0)\). Cited in 9 Documents MSC: 35Q30 Navier-Stokes equations 76D05 Navier-Stokes equations for incompressible viscous fluids 35D30 Weak solutions to PDEs Keywords:Navier-Stokes equations; damping; weak solutions; decay PDFBibTeX XMLCite \textit{X. Cai} and \textit{L. Lei}, Acta Math. Sci., Ser. B, Engl. Ed. 30, No. 4, 1235--1248 (2010; Zbl 1240.35379) Full Text: DOI