Pokorny, Milan2020-09-142020-09-142003-02-06Pokorny, M. (2003). On the result of He concerning the smoothness of solutions to the Navier-Stokes equations. <i>Electronic Journal of Differential Equations, 2003</i>(11), pp. 1-8.1072-6691https://hdl.handle.net/10877/12602We improve the regularity criterion for the Navier-Stokes equations proved by He [4]. We show that for the Cauchy problem the Leray-Hopf weak solution is smooth provided ∇u3 ∈ Lt (0, T; Ls), 2/t + 3/s ≤ 3/2.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalNavier-Stokes equationsRegularity of systems of PDE'sAnisotropic regularity criteriaArticle