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

dc.contributor.author	Pokorny, Milan ( 0000-0003-3526-5220 )
dc.date.accessioned	2020-09-14T16:27:44Z
dc.date.available	2020-09-14T16:27:44Z
dc.date.issued	2003-02-06
dc.identifier.citation	Pokorny, M. (2003). On the result of He concerning the smoothness of solutions to the Navier-Stokes equations. Electronic Journal of Differential Equations, 2003(11), pp. 1-8.	en_US
dc.identifier.issn	1072-6691
dc.identifier.uri	https://digital.library.txstate.edu/handle/10877/12602
dc.description.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.	en_US
dc.format	Text
dc.format.extent	8 pages
dc.format.medium	1 file (.pdf)
dc.language.iso	en	en_US
dc.publisher	Southwest Texas State University, Department of Mathematics	en_US
dc.source	Electronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subject	Navier-Stokes equations	en_US
dc.subject	Regularity of systems of PDE's	en_US
dc.subject	Anisotropic regularity criteria	en_US
dc.title	On the result of He concerning the smoothness of solutions to the Navier-Stokes equations	en_US
dc.type	publishedVersion
txstate.documenttype	Article
dc.rights.license	This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.description.department	Mathematics