Global solutions of compressible Navier-Stokes equations with a density-dependent viscosity coefficient
| dc.creator | Zhang, Ting | |
| dc.date | 2009-04-10 | |
| dc.date.accessioned | 2026-07-07T13:02:25Z | |
| dc.date.available | 2026-07-07T13:02:25Z | |
| dc.description | We prove the global existence and uniqueness of the classical (weak) solution for the 2D or 3D compressible Navier-Stokes equations with a density-dependent viscosity coefficient ($λ=λ(ρ)$). Initial data and solutions are only small in the energy-norm. We also give a description of the large time behavior of the solution. Then, we study the propagation of singularities in solutions. We obtain that if there is a vacuum domain at initially, then the vacuum domain will exists for all time, and vanishes as time goes to infinity. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/0904.1659 | |
| dc.identifier | http://arxiv.org/abs/0904.1659 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226443 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Fluid Dynamics | |
| dc.subject | 35Q30 (Primary) 35R35, 76N10 (Secondary) | |
| dc.title | Global solutions of compressible Navier-Stokes equations with a density-dependent viscosity coefficient | |
| dc.type | text |