Tamed 3D Navier-Stokes Equation: Existence, Uniqueness and Regularity
| dc.creator | Röckner, Michael | |
| dc.creator | Zhang, Xicheng | |
| dc.date | 2007-03-09 | |
| dc.date.accessioned | 2026-07-07T07:51:10Z | |
| dc.date.available | 2026-07-07T07:51:10Z | |
| dc.description | In this paper, we prove the existence and uniqueness of a smooth solution to a tamed 3D Navier-Stokes equation in the whole space. In particular, if there exists a bounded smooth solution to the classical 3D Navier-Stokes equation, then this solution satisfies our tamed equation. Moreover, using this renormalized equation we can give a new construction for a suitable weak solution of the classical 3D Navier-Stokes equation introduced in [Scheffer: Hausdorff measure and the Navier-Stokes equations. Comm. Math. Phys., 1977] and [Caffarelli, Kohn, Nirenberg: Partial regularity of suitable weak solutions of the Navier-Stokes equations. Comm. Pure Appl. Math., 1982]. | |
| dc.description | 22 pages, 1 figure, publication in preparation | |
| dc.identifier | https://arxiv.org/abs/math/0703254 | |
| dc.identifier | http://arxiv.org/abs/math/0703254 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125417 | |
| dc.subject | Probability | |
| dc.subject | Analysis of PDEs | |
| dc.title | Tamed 3D Navier-Stokes Equation: Existence, Uniqueness and Regularity | |
| dc.type | text |