A vacuum problem for multidimensional compressible Navier-Stokes equations with degenerate viscosity coefficients
| dc.creator | Chen, Ping | |
| dc.creator | Zhang, Ting | |
| dc.date | 2007-01-05 | |
| dc.date | 2008-04-16 | |
| dc.date.accessioned | 2026-07-07T09:32:46Z | |
| dc.date.available | 2026-07-07T09:32:46Z | |
| dc.description | Local solutions of the multidimensional Navier-Stokes equations for isentropic compressible flow are constructed with spherically symmetric initial data between a solid core and a free boundary connected to a surrounding vacuum state. The viscosity coefficients $λ, μ$ are proportional to $ρ^θ}$, $0<θ<γ$, where $ρ$ is the density and $γ>1$ is the physical constant of polytropic fluid. It is also proved that no vacuum develops between the solid core and the free boundary, and the free boundary expands with finite speed. | |
| dc.description | 32 pages | |
| dc.identifier | https://arxiv.org/abs/math/0701150 | |
| dc.identifier | http://arxiv.org/abs/math/0701150 | |
| dc.identifier | Commun. Pure Appl. Anal. 7 (2008), no. 4, 987--1016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158898 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35Q35 (Primary) 35D05; 76N10 (Secondary) | |
| dc.title | A vacuum problem for multidimensional compressible Navier-Stokes equations with degenerate viscosity coefficients | |
| dc.type | text |