Existence and invariant measure of pullback attractors for 3D Navier-Stokes-Voigt equations with delay
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917599207489536 |
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| author | Qin, Yuming Jiang, Huite |
| author_facet | Qin, Yuming Jiang, Huite |
| contents | In this paper, we study the long-time dynamics of 3D non-autonomous Navier-Stokes-Voigt(NSV) equations with delay. Inspired by [36], we use the contractive function method to prove the pullback D-asymptotical compactness and existence of the pullback attractors. Furthermore, we verify the regularity of pullback attractors by the method in [14, 43, 47] and there exists a unique family of Borel invariant probability measures which is supported by the pullback attractors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17347 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence and invariant measure of pullback attractors for 3D Navier-Stokes-Voigt equations with delay Qin, Yuming Jiang, Huite Analysis of PDEs 35Q30, 35Q35, 37N10, 35B40, 35B41 In this paper, we study the long-time dynamics of 3D non-autonomous Navier-Stokes-Voigt(NSV) equations with delay. Inspired by [36], we use the contractive function method to prove the pullback D-asymptotical compactness and existence of the pullback attractors. Furthermore, we verify the regularity of pullback attractors by the method in [14, 43, 47] and there exists a unique family of Borel invariant probability measures which is supported by the pullback attractors. |
| title | Existence and invariant measure of pullback attractors for 3D Navier-Stokes-Voigt equations with delay |
| topic | Analysis of PDEs 35Q30, 35Q35, 37N10, 35B40, 35B41 |
| url | https://arxiv.org/abs/2402.17347 |