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A Beale-Kato-Majda Blow-up criterion for the 3-D compressible Navier-Stokes equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Sun, Yongzhong Wang, Chao Zhang, Zhifei |
| Copyright Year | 2010 |
| Abstract | We prove a blow-up criterion in terms of the upper bound of the density for the strong solution to the 3-D compressible Navier-Stokes equations. The initial vacuum is allowed. The main ingredient of the proof is \textit{a priori} estimate for an important quantity under the assumption that the density is upper bounded, whose divergence can be viewed as the effective viscous flux. |
| Starting Page | 36 |
| Ending Page | 47 |
| Page Count | 12 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.matpur.2010.08.001 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1001.1247v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.matpur.2010.08.001 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
