Regularity Criterion for Weak Solution to the 3D Micropolar Fluid Equations
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.
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| Principais autores: | , |
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| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
Wiley
2011-01-01
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| Serier: | Journal of Applied Mathematics |
| Online adgang: | http://dx.doi.org/10.1155/2011/456547 |
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