Large Time Behavior for Weak Solutions of the 3D Globally Modified Navier-Stokes Equations
This paper is concerned with the large time behavior of the weak solutions for three-dimensional globally modified Navier-Stokes equations. With the aid of energy methods and auxiliary decay estimates together with Lp-Lq estimates of heat semigroup, we derive the optimal upper and lower decay estima...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/879780 |
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| _version_ | 1832562653658087424 |
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| author | Junbai Ren |
| author_facet | Junbai Ren |
| author_sort | Junbai Ren |
| collection | DOAJ |
| description | This paper is concerned with the large time behavior of the weak solutions for three-dimensional globally modified Navier-Stokes equations. With the aid of energy methods and auxiliary decay estimates together with Lp-Lq estimates of heat semigroup, we derive the optimal upper and lower decay estimates of the weak solutions for the globally modified Navier-Stokes equations as C1(1+t)-3/4≤uL2≤C2(1+t)-3/4, t>1. The decay rate is optimal since it coincides with that of heat equation. |
| format | Article |
| id | doaj-art-0fec8077e00c4d8db171467d143dcc34 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0fec8077e00c4d8db171467d143dcc342025-02-03T01:22:05ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/879780879780Large Time Behavior for Weak Solutions of the 3D Globally Modified Navier-Stokes EquationsJunbai Ren0Research Center of Applied Statistics, School of Statistics, Jiangxi University of Finance and Economics, Nanchang 330013, ChinaThis paper is concerned with the large time behavior of the weak solutions for three-dimensional globally modified Navier-Stokes equations. With the aid of energy methods and auxiliary decay estimates together with Lp-Lq estimates of heat semigroup, we derive the optimal upper and lower decay estimates of the weak solutions for the globally modified Navier-Stokes equations as C1(1+t)-3/4≤uL2≤C2(1+t)-3/4, t>1. The decay rate is optimal since it coincides with that of heat equation.http://dx.doi.org/10.1155/2014/879780 |
| spellingShingle | Junbai Ren Large Time Behavior for Weak Solutions of the 3D Globally Modified Navier-Stokes Equations Abstract and Applied Analysis |
| title | Large Time Behavior for Weak Solutions of the 3D Globally Modified Navier-Stokes Equations |
| title_full | Large Time Behavior for Weak Solutions of the 3D Globally Modified Navier-Stokes Equations |
| title_fullStr | Large Time Behavior for Weak Solutions of the 3D Globally Modified Navier-Stokes Equations |
| title_full_unstemmed | Large Time Behavior for Weak Solutions of the 3D Globally Modified Navier-Stokes Equations |
| title_short | Large Time Behavior for Weak Solutions of the 3D Globally Modified Navier-Stokes Equations |
| title_sort | large time behavior for weak solutions of the 3d globally modified navier stokes equations |
| url | http://dx.doi.org/10.1155/2014/879780 |
| work_keys_str_mv | AT junbairen largetimebehaviorforweaksolutionsofthe3dgloballymodifiednavierstokesequations |