Regularity Criterion for Weak Solution to the 3D Micropolar Fluid Equations
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-13
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Regularity criterion for the 3D micropolar fluid equations is investigated.
We prove that, for some T>0, if ∫0T∥vx3∥Lϱρdt<∞, where 3/ϱ+2/ρ≤1 and ϱ≥3, then the solution (v,w) can be extended smoothly beyond t=T.
The derivative vx3 can be substituted with any directional derivative of v.
American Psychological Association (APA)
Wang, Yu-Zhu& Chen, Zigao. 2011. Regularity Criterion for Weak Solution to the 3D Micropolar Fluid Equations. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-472954
Modern Language Association (MLA)
Wang, Yu-Zhu& Chen, Zigao. Regularity Criterion for Weak Solution to the 3D Micropolar Fluid Equations. Journal of Applied Mathematics No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-472954
American Medical Association (AMA)
Wang, Yu-Zhu& Chen, Zigao. Regularity Criterion for Weak Solution to the 3D Micropolar Fluid Equations. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-472954
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472954
