Well-posedness in critical spaces for the system of Navier-Stokes compressible
| dc.creator | Haspot, Boris | |
| dc.date | 2009-04-08 | |
| dc.date.accessioned | 2026-07-07T13:01:43Z | |
| dc.date.available | 2026-07-07T13:01:43Z | |
| dc.description | This paper is dedicated to the study of viscous compressible barotropic fluids in dimension $N\geq2$. We address the question of well-posedness for {\it large} data having critical Besov regularity. Our result improve the analysis of R. Danchin and of B. Haspot, by the fact that we choose initial density more general in $B^{\NN}_{p,1}$ with $1\leq p<+\infty$. Our result relies on a new a priori estimate for the velocity, where we introduce a new structure to \textit{kill} the coupling between the density and the velocity. In particular our result is the first where we obtain uniqueness without imposing hypothesis on the gradient of the density. | |
| dc.identifier | https://arxiv.org/abs/0904.1354 | |
| dc.identifier | http://arxiv.org/abs/0904.1354 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226243 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Well-posedness in critical spaces for the system of Navier-Stokes compressible | |
| dc.type | text |