| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4615085 | Journal of Mathematical Analysis and Applications | 2015 | 15 Pages |
Abstract
In this study, we present two new regularity criteria for three-dimensional nematic liquid crystal flows. More precisely, we show that if ∂3u∈Lβ(0,T;Lα(R3))∂3u∈Lβ(0,T;Lα(R3)) with 2β+3α≤3(α+2)4α (α>2α>2), or u3u3, ∇d∈Lβ(0,T;Lα(R3))∇d∈Lβ(0,T;Lα(R3)) with 2β+3α≤34+12α (α>103), then the corresponding weak solution (u,d)(u,d) can be extended beyond T.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ruiying Wei, Yin Li, Zheng-an Yao,