Reproductive strong solutions of Navier-Stokes equations with non homogeneous boundary conditions
| dc.creator | Amrouche, Chérif | |
| dc.creator | Batchi, Macaire | |
| dc.creator | Batina, Jean | |
| dc.date | 2007-04-18 | |
| dc.date.accessioned | 2026-07-07T07:57:03Z | |
| dc.date.available | 2026-07-07T07:57:03Z | |
| dc.description | The object of the present paper is to show the existence and the uniqueness of a reproductive strong solution of the Navier-Stokes equations, i.e. the solution $\boldsymbol{u} $ belongs to $\text{}\mathbf{L}% ^{\infty}(0,T;V) \cap \mathbf{L}^{2}(0,T;\mathbf{H}% ^{2}(Ω))$ and satisfies the property $\boldsymbol{u}% (\boldsymbol{x,}T) =\boldsymbol{u}% (\boldsymbol{x,}0) =\boldsymbol{u}_{0}(\boldsymbol{x})$. One considers the case of an incompressible fluid in two dimensions with nonhomogeneous boundary conditions, and external forces are neglected. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/0704.2360 | |
| dc.identifier | http://arxiv.org/abs/0704.2360 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127538 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35K, 76D03, 76D03 | |
| dc.title | Reproductive strong solutions of Navier-Stokes equations with non homogeneous boundary conditions | |
| dc.type | text |