On the result of He concerning the smoothness of solutions to the Navier-Stokes equations

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pokorny.pdf (214.54 KB)
Date
2003-02-06
Authors
Pokorny, Milan
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We 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.
Description
Keywords
Navier-Stokes equations, Regularity of systems of PDE's, Anisotropic regularity criteria
Citation
Pokorny, 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.
URI
https://hdl.handle.net/10877/12602
Collections
Electronic Journal of Differential Equations