In this paper we consider the regularity of weak solutions and find some regular criteria for 3D non-stationary Navier–Stokes equations. Moreover, we establish decay rates for weak solutions in general domains by means of the spectral decomposition method of fractional powers of the Stokes operator.
Cite this article
Pigong Han, Regularity and decay properties of weak solutions to Navier–Stokes equations in general domains. Port. Math. 67 (2010), no. 1, pp. 57–74DOI 10.4171/PM/1857