On the result of He concerning the smoothness of solutions to the Navier-Stokes equations
dc.contributor.author | Pokorny, Milan | |
dc.date.accessioned | 2020-09-14T16:27:44Z | |
dc.date.available | 2020-09-14T16:27:44Z | |
dc.date.issued | 2003-02-06 | |
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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 8 pages | |
dc.format.medium | 1 file (.pdf) | |
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. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/12602 | |
dc.language.iso | en | |
dc.publisher | Southwest Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
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 | |
dc.subject | Regularity of systems of PDE's | |
dc.subject | Anisotropic regularity criteria | |
dc.title | On the result of He concerning the smoothness of solutions to the Navier-Stokes equations | |
dc.type | Article |