×

\(L^2\) decay of the incompressible Navier-Stokes equations with damping. (English) Zbl 1240.35379

Summary: In this article, we show large time behavior of weak solutions to the Cauchy problem of the Navier-Stokes equations with damping \(\alpha|u|^{\beta-1}u\) \((\alpha>0)\).

MSC:

35Q30 Navier-Stokes equations
76D05 Navier-Stokes equations for incompressible viscous fluids
35D30 Weak solutions to PDEs
PDFBibTeX XMLCite
Full Text: DOI