Hm Convergence of the Second-Grade Fluid Equations to Euler Equations in ℝd
In this paper, we investigate an approximation of the Euler equation by the second-grade fluid equations in ℝdd=2,3. The convergence in Hm of a sequence of solutions to the second-grade fluid equations in a uniform interval is proven as both the viscosity coefficient ν and filter parameter α tend to...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/1456291 |
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doaj-83a2634fbabd4b36bbc924f347d4e20e2020-11-25T02:19:10ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/14562911456291Hm Convergence of the Second-Grade Fluid Equations to Euler Equations in ℝdHui Zhou0School of Mathematics and Computer Science, Yichun University, Yichun, Jiangxi Province 336000, ChinaIn this paper, we investigate an approximation of the Euler equation by the second-grade fluid equations in ℝdd=2,3. The convergence in Hm of a sequence of solutions to the second-grade fluid equations in a uniform interval is proven as both the viscosity coefficient ν and filter parameter α tend to zero with an initial velocity in Hm.http://dx.doi.org/10.1155/2020/1456291 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hui Zhou |
| spellingShingle |
Hui Zhou Hm Convergence of the Second-Grade Fluid Equations to Euler Equations in ℝd Discrete Dynamics in Nature and Society |
| author_facet |
Hui Zhou |
| author_sort |
Hui Zhou |
| title |
Hm Convergence of the Second-Grade Fluid Equations to Euler Equations in ℝd |
| title_short |
Hm Convergence of the Second-Grade Fluid Equations to Euler Equations in ℝd |
| title_full |
Hm Convergence of the Second-Grade Fluid Equations to Euler Equations in ℝd |
| title_fullStr |
Hm Convergence of the Second-Grade Fluid Equations to Euler Equations in ℝd |
| title_full_unstemmed |
Hm Convergence of the Second-Grade Fluid Equations to Euler Equations in ℝd |
| title_sort |
hm convergence of the second-grade fluid equations to euler equations in ℝd |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2020-01-01 |
| description |
In this paper, we investigate an approximation of the Euler equation by the second-grade fluid equations in ℝdd=2,3. The convergence in Hm of a sequence of solutions to the second-grade fluid equations in a uniform interval is proven as both the viscosity coefficient ν and filter parameter α tend to zero with an initial velocity in Hm. |
| url |
http://dx.doi.org/10.1155/2020/1456291 |
| work_keys_str_mv |
AT huizhou hmconvergenceofthesecondgradefluidequationstoeulerequationsinrd |
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1715515386402701312 |