The incompressible Navier-Stokes for the nonlinear discrete velocity models
| dc.creator | Bellouquid, A. | |
| dc.date | 2003-06-18 | |
| dc.date.accessioned | 2026-07-07T05:34:48Z | |
| dc.date.available | 2026-07-07T05:34:48Z | |
| dc.description | We establish the incompressible Navier--Stokes limit for the discrete velocity model of the Boltzmann equation in any dimension of the physical space, for densities which remain in a suitable small neighborhood of the global Maxwellian. Appropriately scaled families solutions of discrete Boltzmann equation are shown to have fluctuations that locally in time converge strongly to a limit governed by a solution of Incompressible Navier--Stokes provided that the initial fluctuation is smooth, and converges to appropriate initial data. As applications of our results, we study the Carleman model and the one-dimensional Broadwell model. | |
| dc.description | arxiv version is already official | |
| dc.identifier | https://arxiv.org/abs/nlin/0306036 | |
| dc.identifier | http://arxiv.org/abs/nlin/0306036 | |
| dc.identifier | J. Nonlinear Math. Phys., volume 9, no. 4 (2002) 426-445 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80506 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | The incompressible Navier-Stokes for the nonlinear discrete velocity models | |
| dc.type | text |