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- Publisher Website: 10.3934/dcds.2014.34.4719
- Scopus: eid_2-s2.0-84901750540
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Article: On some liouville type theorems for the compressible Navier-Stokes equations
| Title | On some liouville type theorems for the compressible Navier-Stokes equations |
|---|---|
| Authors | |
| Keywords | Compressible Navier-Stokes Liouville |
| Issue Date | 2014 |
| Citation | Discrete and Continuous Dynamical Systems- Series A, 2014, v. 34, n. 11, p. 4719-4733 How to Cite? |
| Abstract | We prove several Liouville type results for stationary solutions of the d-dimensional compressible Navier-Stokes equations. In particular, we show that when the dimension d ≥ 4, the natural requirements ρ ε L∞ (ℝd) , v ε v H1(ℝd) suffice to guarantee that the solution is trivial. For dimensions d = 2; 3, we assume the extra condition v ε L 3d/d-1 (ℝd). This improves a recent result of Chae [1]. |
| Persistent Identifier | http://hdl.handle.net/10722/327001 |
| ISSN | 2023 Impact Factor: 1.1 2023 SCImago Journal Rankings: 1.104 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Li, Dong | - |
| dc.contributor.author | Yu, Xinwei | - |
| dc.date.accessioned | 2023-03-31T05:28:04Z | - |
| dc.date.available | 2023-03-31T05:28:04Z | - |
| dc.date.issued | 2014 | - |
| dc.identifier.citation | Discrete and Continuous Dynamical Systems- Series A, 2014, v. 34, n. 11, p. 4719-4733 | - |
| dc.identifier.issn | 1078-0947 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/327001 | - |
| dc.description.abstract | We prove several Liouville type results for stationary solutions of the d-dimensional compressible Navier-Stokes equations. In particular, we show that when the dimension d ≥ 4, the natural requirements ρ ε L∞ (ℝd) , v ε v H1(ℝd) suffice to guarantee that the solution is trivial. For dimensions d = 2; 3, we assume the extra condition v ε L 3d/d-1 (ℝd). This improves a recent result of Chae [1]. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Discrete and Continuous Dynamical Systems- Series A | - |
| dc.subject | Compressible Navier-Stokes | - |
| dc.subject | Liouville | - |
| dc.title | On some liouville type theorems for the compressible Navier-Stokes equations | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.3934/dcds.2014.34.4719 | - |
| dc.identifier.scopus | eid_2-s2.0-84901750540 | - |
| dc.identifier.volume | 34 | - |
| dc.identifier.issue | 11 | - |
| dc.identifier.spage | 4719 | - |
| dc.identifier.epage | 4733 | - |
| dc.identifier.eissn | 1553-5231 | - |
| dc.identifier.isi | WOS:000336668200016 | - |