Commentary on local and boundary regularity of weak solutions to Navier-Stokes equations
| dc.contributor.author | Skalak, Zdenek | |
| dc.date.accessioned | 2021-04-05T16:21:46Z | |
| dc.date.available | 2021-04-05T16:21:46Z | |
| dc.date.issued | 2004-01-13 | |
| dc.description.abstract | We present results on local and boundary regularity for weak solutions to the Navier-Stokes equations. Beginning with the regularity criterion proved recently in [14] for the Cauchy problem, we show that this criterion holds also locally. This is also the case for some other results: We present two examples concerning the regularity of weak solutions stemming from the regularity of two components of the vorticity ([2]) or from the regularity of the pressure ([3]). We conclude by presenting regularity criteria near the boundary based on the results in [10] and [16]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Skalak, Z. (2004). Commentary on local and boundary regularity of weak solutions to Navier-Stokes equations. <i>Electronic Journal of Differential Equations, 2004</i>(9), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13328 | |
| 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, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Navier-Stokes equations | |
| dc.subject | Weak solutions | |
| dc.subject | Partial regularity | |
| dc.subject | Energy inequality | |
| dc.title | Commentary on local and boundary regularity of weak solutions to Navier-Stokes equations | en_US |
| dc.type | Article |