A New Pressure Regularity Criterion of the Three-Dimensional Micropolar Fluid Equations
This paper concerns the regularity criterion of the weak solutions to the three-dimensional (3D) micropolar fluid equations in terms of the pressure. It is proved that if one of the partial derivatives of pressure satisfies ∂3π∈Lp(0,T;Lq(R3)) with 2/p+3/q≤2,3<q<∞,1<p<∞, then the weak sol...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/262131 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849400671264047104 |
|---|---|
| author | Junbai Ren |
| author_facet | Junbai Ren |
| author_sort | Junbai Ren |
| collection | DOAJ |
| description | This paper concerns the regularity criterion of the weak solutions to the three-dimensional (3D) micropolar fluid equations in terms of the pressure. It is proved that if one of the partial derivatives of pressure satisfies ∂3π∈Lp(0,T;Lq(R3)) with 2/p+3/q≤2,3<q<∞,1<p<∞, then the weak solution of the micropolar fluid equations becomes regular on (0,T]. |
| format | Article |
| id | doaj-art-825bcaea6bde4a2e9d192a55c40e380b |
| 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-825bcaea6bde4a2e9d192a55c40e380b2025-08-20T03:37:57ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/262131262131A New Pressure Regularity Criterion of the Three-Dimensional Micropolar Fluid EquationsJunbai Ren0School of Statistics, Jiangxi University of Finance and Economics, Nanchang 330013, ChinaThis paper concerns the regularity criterion of the weak solutions to the three-dimensional (3D) micropolar fluid equations in terms of the pressure. It is proved that if one of the partial derivatives of pressure satisfies ∂3π∈Lp(0,T;Lq(R3)) with 2/p+3/q≤2,3<q<∞,1<p<∞, then the weak solution of the micropolar fluid equations becomes regular on (0,T].http://dx.doi.org/10.1155/2013/262131 |
| spellingShingle | Junbai Ren A New Pressure Regularity Criterion of the Three-Dimensional Micropolar Fluid Equations Journal of Applied Mathematics |
| title | A New Pressure Regularity Criterion of the Three-Dimensional Micropolar Fluid Equations |
| title_full | A New Pressure Regularity Criterion of the Three-Dimensional Micropolar Fluid Equations |
| title_fullStr | A New Pressure Regularity Criterion of the Three-Dimensional Micropolar Fluid Equations |
| title_full_unstemmed | A New Pressure Regularity Criterion of the Three-Dimensional Micropolar Fluid Equations |
| title_short | A New Pressure Regularity Criterion of the Three-Dimensional Micropolar Fluid Equations |
| title_sort | new pressure regularity criterion of the three dimensional micropolar fluid equations |
| url | http://dx.doi.org/10.1155/2013/262131 |
| work_keys_str_mv | AT junbairen anewpressureregularitycriterionofthethreedimensionalmicropolarfluidequations AT junbairen newpressureregularitycriterionofthethreedimensionalmicropolarfluidequations |