| Autor: |
Xingrui Ma, Xianzhu Xiong |
| Jazyk: |
angličtina |
| Rok vydání: |
2019 |
| Předmět: |
|
| Zdroj: |
Boundary Value Problems, Vol 2019, Iss 1, Pp 1-29 (2019) |
| Druh dokumentu: |
article |
| ISSN: |
1687-2770 |
| DOI: |
10.1186/s13661-019-1271-4 |
| Popis: |
Abstract In this article, we investigate the effect of surface tension in the Rayleigh–Taylor (RT) problem of stratified incompressible viscoelastic fluids. We prove that there exists an unstable solution to the linearized stratified RT problem with a largest growth rate Λ under the instability condition (i.e., the surface tension coefficient ϑ is less than a threshold ϑc $\vartheta _{c}$). Moreover, for this instability condition, the largest growth rate Λϑ $\varLambda _{\vartheta }$ decreases from a positive constant to 0, when ϑ increases from 0 to ϑc $\vartheta _{c}$, which mathematically verifies that the internal surface tension can constrain the growth of the RT instability during the linear stage. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
|
Nepřihlášeným uživatelům se plný text nezobrazuje |
K zobrazení výsledku je třeba se přihlásit.
|
