Compressible flows with a density-dependent viscosity coefficient
| dc.creator | Zhang, Ting | |
| dc.creator | Fang, Daoyuan | |
| dc.date | 2009-01-04 | |
| dc.date | 2009-02-13 | |
| dc.date.accessioned | 2026-07-07T12:40:51Z | |
| dc.date.available | 2026-07-07T12:40:51Z | |
| dc.description | We prove the global existence of weak solutions for the 2-D compressible Navier-Stokes equations with a density-dependent viscosity coefficient ($λ=λ(ρ)$). Initial data and solutions are small in energy-norm with nonnegative densities having arbitrarily large sup-norm. Then, we show that if there is a vacuum domain at the initial time, then the vacuum domain will retain for all time, and vanishes as time goes to infinity. At last, we show that the condition of $μ=$constant will induce a singularity of the system at vacuum. Thus, the viscosity coefficient $μ$ plays a key role in the Navier-Stokes equations. | |
| dc.description | 32 pages | |
| dc.identifier | https://arxiv.org/abs/0901.0352 | |
| dc.identifier | http://arxiv.org/abs/0901.0352 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219572 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q35 | |
| dc.title | Compressible flows with a density-dependent viscosity coefficient | |
| dc.type | text |