On the Smallness of the (Possible) Singular Set in Space for 3D Navier-Stokes Equations
dc.contributor.author | Grujic, Zoran | |
dc.date.accessioned | 2019-11-21T19:38:03Z | |
dc.date.available | 2019-11-21T19:38:03Z | |
dc.date.issued | 1999-12-03 | |
dc.description.abstract | We utilize L∞ estimates on the complexified solutions of 3D Navier-Stokes equations via a plurisubharmonic measure type maximum principle to give a short proof of the fact that the Hausdorff dimension of the (possible) singular set in space is less or equal 1 assuming chaotic, Cantor set-like structure of the blow-up profile. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 8 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Grujic, Z. (1999). On the smallness of the (possible) singular set in space for 3D Navier-Stokes equations. Electronic Journal of Differential Equations, 1999(48), pp. 1-8. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/8859 | |
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, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
dc.subject | Navier-Stokes equations | |
dc.subject | Singular set | |
dc.subject | Turbulence | |
dc.title | On the Smallness of the (Possible) Singular Set in Space for 3D Navier-Stokes Equations | |
dc.type | Article |