| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4663709 | Acta Mathematica Scientia | 2014 | 9 Pages |
Abstract
In this paper we derive LPS's criterion for the breakdown of classical solutions to the incompressible nematic liquid crystal flow, a simplified version of Ericksen-Leslie system modeling the hydrodynamic evolution of nematic liquid crystals in ℝ3. We show that if 0 < T < + ∞ is the maximal time interval for the unique smooth solution u ∈ C∞([0,T],ℝ3), then |u|+|∇d|∉Lq([0,T],Lp(ℝ3)) where p and q safisfy the Ladyzhenskaya-Prodi-Serrin's condition:
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
