Linear Rayleigh-Taylor instability for compressible viscoelastic fluids
In this paper, we consider the linear Rayleigh-Taylor instability of an equilibrium state of 3D gravity-driven compressible viscoelastic fluid with the elasticity coefficient $ \kappa $ is less than a critical number $ \kappa_{c} $ in a moving horizontal periodic domain. We first construct the maxim...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023761?viewType=HTML |
| _version_ | 1827950257388912640 |
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| author | Caifeng Liu |
| author_facet | Caifeng Liu |
| author_sort | Caifeng Liu |
| collection | DOAJ |
| description | In this paper, we consider the linear Rayleigh-Taylor instability of an equilibrium state of 3D gravity-driven compressible viscoelastic fluid with the elasticity coefficient $ \kappa $ is less than a critical number $ \kappa_{c} $ in a moving horizontal periodic domain. We first construct the maximal growing mode solutions to the linearized equations by studying a family of modified variational problems, and then we prove an estimate for arbitrary solutions to the linearized equations. |
| first_indexed | 2024-04-09T13:23:01Z |
| format | Article |
| id | doaj.art-4b687c499fe849319582fa485bfcc537 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-09T13:23:01Z |
| publishDate | 2023-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-4b687c499fe849319582fa485bfcc5372023-05-11T01:02:01ZengAIMS PressAIMS Mathematics2473-69882023-04-0187148941491810.3934/math.2023761Linear Rayleigh-Taylor instability for compressible viscoelastic fluidsCaifeng Liu 0School of Mathematics, Northwest University, Xi'an 710127, ChinaIn this paper, we consider the linear Rayleigh-Taylor instability of an equilibrium state of 3D gravity-driven compressible viscoelastic fluid with the elasticity coefficient $ \kappa $ is less than a critical number $ \kappa_{c} $ in a moving horizontal periodic domain. We first construct the maximal growing mode solutions to the linearized equations by studying a family of modified variational problems, and then we prove an estimate for arbitrary solutions to the linearized equations.https://www.aimspress.com/article/doi/10.3934/math.2023761?viewType=HTMLlinear rayleigh-taylor instabilitycompressible viscoelastic fluidmoving domain |
| spellingShingle | Caifeng Liu Linear Rayleigh-Taylor instability for compressible viscoelastic fluids AIMS Mathematics linear rayleigh-taylor instability compressible viscoelastic fluid moving domain |
| title | Linear Rayleigh-Taylor instability for compressible viscoelastic fluids |
| title_full | Linear Rayleigh-Taylor instability for compressible viscoelastic fluids |
| title_fullStr | Linear Rayleigh-Taylor instability for compressible viscoelastic fluids |
| title_full_unstemmed | Linear Rayleigh-Taylor instability for compressible viscoelastic fluids |
| title_short | Linear Rayleigh-Taylor instability for compressible viscoelastic fluids |
| title_sort | linear rayleigh taylor instability for compressible viscoelastic fluids |
| topic | linear rayleigh-taylor instability compressible viscoelastic fluid moving domain |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023761?viewType=HTML |
| work_keys_str_mv | AT caifengliu linearrayleightaylorinstabilityforcompressibleviscoelasticfluids |