Steady compressible Nevier-Stokes flow in a square
| dc.creator | Piasecki, Tomasz | |
| dc.date | 2009-01-26 | |
| dc.date.accessioned | 2026-07-07T12:34:33Z | |
| dc.date.available | 2026-07-07T12:34:33Z | |
| dc.description | We investigate a steady flow of compressible fluid with inflow boundary condition on the density and slip boundary conditions on the velocity in a square domain in $\mathbf{R^2}$. We show existence of a strong solution $(v,ρ) \in W^2_p(Q) \times W^1_p(Q)$ that is a small perturbation of a constant flow $(\bar v \equiv [1,0],\bar ρ\equiv 1)$. We also show that this solution is unique in a class of small perturbations of the constant flow $(\bar v,\bar ρ)$. In order show the existence of the solution we adapt the techniques know from the theory of weak solutions. We apply the method of elliptic regularization and a fixed point argument. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/0901.3996 | |
| dc.identifier | http://arxiv.org/abs/0901.3996 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217472 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q30; 76N10 | |
| dc.title | Steady compressible Nevier-Stokes flow in a square | |
| dc.type | text |