The Asymptotic Stability of the Generalized 3D Navier-Stokes Equations
We study the stability issue of the generalized 3D Navier-Stokes equations. It is shown that if the weak solution u of the Navier-Stokes equations lies in the regular class ∇u∈Lp(0,∞;Bq,∞0(ℝ3)), (2α/p)+(3/q)=2α, 2<q<∞, 0<α<1, then every weak solution v(x,t) of the perturbed system conver...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/321427 |
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| _version_ | 1849414930038521856 |
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| author | Wen-Juan Wang Yan Jia |
| author_facet | Wen-Juan Wang Yan Jia |
| author_sort | Wen-Juan Wang |
| collection | DOAJ |
| description | We study the stability issue of the generalized 3D Navier-Stokes equations. It is shown that if the weak solution u of the Navier-Stokes equations lies in the regular class ∇u∈Lp(0,∞;Bq,∞0(ℝ3)), (2α/p)+(3/q)=2α, 2<q<∞, 0<α<1, then every weak solution v(x,t) of the perturbed system converges asymptotically to u(x,t) as vt-utL2→0, t→∞. |
| format | Article |
| id | doaj-art-6a944c0f153b469cafb6bc4f1dc2d65b |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-6a944c0f153b469cafb6bc4f1dc2d65b2025-08-20T03:33:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/321427321427The Asymptotic Stability of the Generalized 3D Navier-Stokes EquationsWen-Juan Wang0Yan Jia1School of Mathematical Sciences, Anhui University, Hefei 230601, ChinaSchool of Mathematical Sciences, Anhui University, Hefei 230601, ChinaWe study the stability issue of the generalized 3D Navier-Stokes equations. It is shown that if the weak solution u of the Navier-Stokes equations lies in the regular class ∇u∈Lp(0,∞;Bq,∞0(ℝ3)), (2α/p)+(3/q)=2α, 2<q<∞, 0<α<1, then every weak solution v(x,t) of the perturbed system converges asymptotically to u(x,t) as vt-utL2→0, t→∞.http://dx.doi.org/10.1155/2013/321427 |
| spellingShingle | Wen-Juan Wang Yan Jia The Asymptotic Stability of the Generalized 3D Navier-Stokes Equations Journal of Applied Mathematics |
| title | The Asymptotic Stability of the Generalized 3D Navier-Stokes Equations |
| title_full | The Asymptotic Stability of the Generalized 3D Navier-Stokes Equations |
| title_fullStr | The Asymptotic Stability of the Generalized 3D Navier-Stokes Equations |
| title_full_unstemmed | The Asymptotic Stability of the Generalized 3D Navier-Stokes Equations |
| title_short | The Asymptotic Stability of the Generalized 3D Navier-Stokes Equations |
| title_sort | asymptotic stability of the generalized 3d navier stokes equations |
| url | http://dx.doi.org/10.1155/2013/321427 |
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