Global existence of strong solutions to compressible Navier-Stokes-Korteweg equations with external potential force
In this article, we consider a three dimensional compressible Navier-Stokes-Korteweg equations with the effect of external potential force. Under the smallness assumptions on both the external potential force and the initial perturbation of the stationary solution in $ H^2(\mathbb{R}^3)\times H^1(\m...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-10-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231418?viewType=HTML |
| _version_ | 1797652566807412736 |
|---|---|
| author | Kaile Chen Yunyun Liang Nengqiu Zhang |
| author_facet | Kaile Chen Yunyun Liang Nengqiu Zhang |
| author_sort | Kaile Chen |
| collection | DOAJ |
| description | In this article, we consider a three dimensional compressible Navier-Stokes-Korteweg equations with the effect of external potential force. Under the smallness assumptions on both the external potential force and the initial perturbation of the stationary solution in $ H^2(\mathbb{R}^3)\times H^1(\mathbb{R}^3) $, we prove the global existence and regularity of strong solutions for the Navier-Stokes-Korteweg equations. |
| first_indexed | 2024-03-11T16:31:50Z |
| format | Article |
| id | doaj.art-014d793728e74c3ea2b3ffc69c60a580 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-11T16:31:50Z |
| publishDate | 2023-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-014d793728e74c3ea2b3ffc69c60a5802023-10-24T01:47:27ZengAIMS PressAIMS Mathematics2473-69882023-10-01811277122772410.3934/math.20231418Global existence of strong solutions to compressible Navier-Stokes-Korteweg equations with external potential forceKaile Chen0Yunyun Liang1Nengqiu Zhang21. School of information and mathematics, Yangtze University, Jingzhou 434023, China1. School of information and mathematics, Yangtze University, Jingzhou 434023, China 2. School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China3. School of Science, East China University of Science and Technology, Shanghai 200237, ChinaIn this article, we consider a three dimensional compressible Navier-Stokes-Korteweg equations with the effect of external potential force. Under the smallness assumptions on both the external potential force and the initial perturbation of the stationary solution in $ H^2(\mathbb{R}^3)\times H^1(\mathbb{R}^3) $, we prove the global existence and regularity of strong solutions for the Navier-Stokes-Korteweg equations.https://www.aimspress.com/article/doi/10.3934/math.20231418?viewType=HTMLnavier-stokes-korteweg equationsstationary solutionglobal existence |
| spellingShingle | Kaile Chen Yunyun Liang Nengqiu Zhang Global existence of strong solutions to compressible Navier-Stokes-Korteweg equations with external potential force AIMS Mathematics navier-stokes-korteweg equations stationary solution global existence |
| title | Global existence of strong solutions to compressible Navier-Stokes-Korteweg equations with external potential force |
| title_full | Global existence of strong solutions to compressible Navier-Stokes-Korteweg equations with external potential force |
| title_fullStr | Global existence of strong solutions to compressible Navier-Stokes-Korteweg equations with external potential force |
| title_full_unstemmed | Global existence of strong solutions to compressible Navier-Stokes-Korteweg equations with external potential force |
| title_short | Global existence of strong solutions to compressible Navier-Stokes-Korteweg equations with external potential force |
| title_sort | global existence of strong solutions to compressible navier stokes korteweg equations with external potential force |
| topic | navier-stokes-korteweg equations stationary solution global existence |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231418?viewType=HTML |
| work_keys_str_mv | AT kailechen globalexistenceofstrongsolutionstocompressiblenavierstokeskortewegequationswithexternalpotentialforce AT yunyunliang globalexistenceofstrongsolutionstocompressiblenavierstokeskortewegequationswithexternalpotentialforce AT nengqiuzhang globalexistenceofstrongsolutionstocompressiblenavierstokeskortewegequationswithexternalpotentialforce |