Logarithmically improved regularity criteria for the Navier-Stokes equations in homogeneous Besov spaces
| dc.contributor.author | Dao, Nguyen Anh | |
| dc.contributor.author | Diaz, Jesus Ildefonso | |
| dc.date.accessioned | 2022-10-28T14:05:41Z | |
| dc.date.available | 2022-10-28T14:05:41Z | |
| dc.date.issued | 2021-11-03 | |
| dc.description.abstract | We investigate a logarithmically improved regularity criteria in terms of the velocity, or the vorticity, for the Navier-Stokes equations in homogeneous Besov spaces. More precisely, we prove that if the weak solution u satisfies either ∫T0 ∥u(t)∥2/1-αḂ-α∞,∞ /1 + log+ ∥u(t)∥H˙s0dt < ∞, or ∫T0 ∥w(t)∥2/2-αḂ-α∞,∞ /1 + log+ ∥w(t)∥H˙s0 dt < ∞, where w = rot u, then u is regular on (0, T]. Our conclusions improve some results by Fan et al. [5]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Dao, N. A., & Díaz, J. I. (2021). Logarithmically improved regularity criteria for the Navier-Stokes equations in homogeneous Besov spaces. Electronic Journal of Differential Equations, 2021(89), pp. 1-9. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16247 | |
| dc.language.iso | en | |
| dc.publisher | 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, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Besov space | |
| dc.subject | Navier-Stokes equations | |
| dc.subject | Regularity criteria | |
| dc.title | Logarithmically improved regularity criteria for the Navier-Stokes equations in homogeneous Besov spaces | |
| dc.type | Article |