Skalak, Zdenek2021-05-242021-05-242005-04-24Skalak, Z. (2005). Regularity of weak solutions of the Navier-Stokes equations near the smooth boundary. <i>Electronic Journal of Differential Equations, 2005</i>(45), pp. 1-11.1072-6691https://hdl.handle.net/10877/13629Any weak solution u of the Navier-Stokes equations in a bounded domain satisfying the Prodi-Serrin's conditions locally near the smooth boundary cannot have singular points there. This local-up-to-the-boundary boundedness of u in space-time implies the Holder continuity of u up-to-the-boundary in the space variables.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalNavier-Stokes equationsWeak solutionsBoundary regularityArticle