Incompressible Réthy Flows in Two Dimensions
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 3427-3475 |
| Journal / Publication | SIAM Journal on Mathematical Analysis |
| Volume | 49 |
| Issue number | 5 |
| Online published | 19 Sept 2017 |
| Publication status | Published - 2017 |
Link(s)
| DOI | DOI |
|---|---|
| Attachment(s) | Documents
Publisher's Copyright Statement
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| Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-85034080975&origin=recordpage |
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(f1cbab86-68cf-4604-a601-fe793edadb09).html |
Abstract
This paper deals with the mathematical theory of a two-dimensional incompressible flow with two free boundaries effusing from a semi-infinite nozzle around a given obstacle, which is named the Réthy flows. The interesting and old problem was suggested and tried by M. Réthy in 1895 for a flow around a symmetric wedge. Here, we are concerned with the well-posedness theory of the symmetric Réthy flow with more general geometric conditions to the nozzle and obstacle. Given a mass flux at the inlet of the nozzle, we established the existence of the incompressible symmetric Réthy flows, containing two free boundaries behind the obstacle. Furthermore, the location estimate, the deflection angle estimate of the Réthy flow in the far field, and the asymptotic behavior of the Réthy flow in the upstream and downstream are also obtained. Finally, some results on the uniqueness of the Réthy flow are established.
Research Area(s)
- Asymptotic behavior, Existence and uniqueness, Free boundary, Incompressible Réthy flows, Jet and cavity
Citation Format(s)
Incompressible Réthy Flows in Two Dimensions. / Cheng, Jianfeng; Du, Lili; Xiang, Wei.
In: SIAM Journal on Mathematical Analysis, Vol. 49, No. 5, 2017, p. 3427-3475.
In: SIAM Journal on Mathematical Analysis, Vol. 49, No. 5, 2017, p. 3427-3475.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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