A new Bernstein's Inequality and the 2D Dissipative Quasi-Geostrophic Equation
| dc.creator | Chen, Qionglei | |
| dc.creator | Miao, Changxing | |
| dc.creator | Zhang, Zhifei | |
| dc.date | 2006-07-01 | |
| dc.date | 2007-01-25 | |
| dc.date.accessioned | 2026-07-07T10:08:35Z | |
| dc.date.available | 2026-07-07T10:08:35Z | |
| dc.description | We show a new Bernstein's inequality which generalizes the results of Cannone-Planchon, Danchin and Lemarié-Rieusset. As an application of this inequality, we prove the global well-posedness of the 2D quasi-geostrophic equation with the critical and super-critical dissipation for the small initial data in the critical Besov space, and local well-posedness for the large initial data. | |
| dc.description | 18pages | |
| dc.identifier | https://arxiv.org/abs/math/0607020 | |
| dc.identifier | http://arxiv.org/abs/math/0607020 | |
| dc.identifier | Commun. Math. Phys. 271(2007)821-838 | |
| dc.identifier | doi:10.1007/s00220-007-0193-7 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171047 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q35, 35Q30 | |
| dc.title | A new Bernstein's Inequality and the 2D Dissipative Quasi-Geostrophic Equation | |
| dc.type | text |