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On the Leray–Hopf extension condition for the steady-state Navier–Stokes problem in multiply-connected bounded domains
| Content Provider | Semantic Scholar |
|---|---|
| Author | Galdi, Giovanni P. |
| Copyright Year | 2013 |
| Abstract | Employing the approach of Takeshita (Pacific J Math 157:151–158, 1993), we give an elementary proof of the invalidity of the Leray–Hopf Extension Condition for certain multiply connected bounded domains of $${\mathbb {R}}^{n}$$Rn, $$n=2,3$$n=2,3, whenever the flow through the different components of the boundary is non-zero. Our proof is alternative to and, to an extent, more direct than the recent one proposed by Heywood (J Math Fluid Mech 13:449–457, 2011). |
| Starting Page | 123 |
| Ending Page | 132 |
| Page Count | 10 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s11565-014-0204-5 |
| Volume Number | 60 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1310.2787v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s11565-014-0204-5 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
