Asymptotic Behavior of the Solutions of the Generalized Globally Modified Navier–Stokes Equations
The paper is concerned with the existence and the asymptotic behavior of solutions to a class of generalized Navier–Stokes equations, which generalises the so-called globally modified Navier–Stokes equations. The existence and uniqueness of solutions are proved under different assumptions on the dis...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/9924912 |
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| _version_ | 1832561555743440896 |
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| author | Yonghong Duan Xiaojuan Chai |
| author_facet | Yonghong Duan Xiaojuan Chai |
| author_sort | Yonghong Duan |
| collection | DOAJ |
| description | The paper is concerned with the existence and the asymptotic behavior of solutions to a class of generalized Navier–Stokes equations, which generalises the so-called globally modified Navier–Stokes equations. The existence and uniqueness of solutions are proved under different assumptions on the dissipation and modification factors. For the asymptotic behavior of solutions, we prove the existence of global attractors in proper spaces. The results generalize some results derived in our previous work Ann. Polon. Math. 122(2):101–128(2019). |
| format | Article |
| id | doaj-art-30d0a0ad956d4aa79e2bed2a0a2ff781 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-30d0a0ad956d4aa79e2bed2a0a2ff7812025-02-03T01:24:41ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/99249129924912Asymptotic Behavior of the Solutions of the Generalized Globally Modified Navier–Stokes EquationsYonghong Duan0Xiaojuan Chai1Department of Mathematics, Taiyuan University, Taiyuan 030032, ChinaSchool of Mathematical Sciences, Anhui University, Hefei 230039, ChinaThe paper is concerned with the existence and the asymptotic behavior of solutions to a class of generalized Navier–Stokes equations, which generalises the so-called globally modified Navier–Stokes equations. The existence and uniqueness of solutions are proved under different assumptions on the dissipation and modification factors. For the asymptotic behavior of solutions, we prove the existence of global attractors in proper spaces. The results generalize some results derived in our previous work Ann. Polon. Math. 122(2):101–128(2019).http://dx.doi.org/10.1155/2021/9924912 |
| spellingShingle | Yonghong Duan Xiaojuan Chai Asymptotic Behavior of the Solutions of the Generalized Globally Modified Navier–Stokes Equations Discrete Dynamics in Nature and Society |
| title | Asymptotic Behavior of the Solutions of the Generalized Globally Modified Navier–Stokes Equations |
| title_full | Asymptotic Behavior of the Solutions of the Generalized Globally Modified Navier–Stokes Equations |
| title_fullStr | Asymptotic Behavior of the Solutions of the Generalized Globally Modified Navier–Stokes Equations |
| title_full_unstemmed | Asymptotic Behavior of the Solutions of the Generalized Globally Modified Navier–Stokes Equations |
| title_short | Asymptotic Behavior of the Solutions of the Generalized Globally Modified Navier–Stokes Equations |
| title_sort | asymptotic behavior of the solutions of the generalized globally modified navier stokes equations |
| url | http://dx.doi.org/10.1155/2021/9924912 |
| work_keys_str_mv | AT yonghongduan asymptoticbehaviorofthesolutionsofthegeneralizedgloballymodifiednavierstokesequations AT xiaojuanchai asymptoticbehaviorofthesolutionsofthegeneralizedgloballymodifiednavierstokesequations |