Determination of the 3D Navier-Stokes equations with damping
This paper is concerned the determination of trajectories for the three-dimensional Navier-Stokes equations with nonlinear damping subject to periodic boundary condition. By using the energy estimate of Galerkin approximated equation, the finite number of determining modes and asymptotic determined...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-08-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2022197?viewType=HTML |
| _version_ | 1798018090177396736 |
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| author | Wei Shi Xinguang Yang Xingjie Yan |
| author_facet | Wei Shi Xinguang Yang Xingjie Yan |
| author_sort | Wei Shi |
| collection | DOAJ |
| description | This paper is concerned the determination of trajectories for the three-dimensional Navier-Stokes equations with nonlinear damping subject to periodic boundary condition. By using the energy estimate of Galerkin approximated equation, the finite number of determining modes and asymptotic determined functionals have been shown via the Grashof numbers for the non-autonomous and autonomous damped Navier-Stokes fluid flow respectively. |
| first_indexed | 2024-04-11T16:18:09Z |
| format | Article |
| id | doaj.art-e26f5cf2122f41869a6dfcc06a67c248 |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-04-11T16:18:09Z |
| publishDate | 2022-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj.art-e26f5cf2122f41869a6dfcc06a67c2482022-12-22T04:14:27ZengAIMS PressElectronic Research Archive2688-15942022-08-0130103872388610.3934/era.2022197Determination of the 3D Navier-Stokes equations with dampingWei Shi 0Xinguang Yang1Xingjie Yan21. Department of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China1. Department of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China2. Department of Mathematics, China University of Mining and Technology, Xuzhou 221008, ChinaThis paper is concerned the determination of trajectories for the three-dimensional Navier-Stokes equations with nonlinear damping subject to periodic boundary condition. By using the energy estimate of Galerkin approximated equation, the finite number of determining modes and asymptotic determined functionals have been shown via the Grashof numbers for the non-autonomous and autonomous damped Navier-Stokes fluid flow respectively.https://www.aimspress.com/article/doi/10.3934/era.2022197?viewType=HTMLdeterminationnavier-stokes equationdamping |
| spellingShingle | Wei Shi Xinguang Yang Xingjie Yan Determination of the 3D Navier-Stokes equations with damping Electronic Research Archive determination navier-stokes equation damping |
| title | Determination of the 3D Navier-Stokes equations with damping |
| title_full | Determination of the 3D Navier-Stokes equations with damping |
| title_fullStr | Determination of the 3D Navier-Stokes equations with damping |
| title_full_unstemmed | Determination of the 3D Navier-Stokes equations with damping |
| title_short | Determination of the 3D Navier-Stokes equations with damping |
| title_sort | determination of the 3d navier stokes equations with damping |
| topic | determination navier-stokes equation damping |
| url | https://www.aimspress.com/article/doi/10.3934/era.2022197?viewType=HTML |
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