# Blow up criterion for incompressible nematic liquid crystal flows

@article{Gao2012BlowUC, title={Blow up criterion for incompressible nematic liquid crystal flows}, author={Zhensheng Gao and Zhong Tan}, journal={arXiv: Analysis of PDEs}, year={2012} }

In this paper, we consider the short time classical solution to a simplified hydrodynamic flow modeling incompressible, nematic liquid crystal materials in dimension three. We establish a criterion for possible breakdown of such solutions at a finite time. More precisely, if (u,d) is smooth up to time T provided

## 2 Citations

### A remark on blow up criterion of three-dimensional nematic liquid crystal flows

- Mathematics
- 2016

In this paper, we study the initial value problem for
the three-dimensional nematic liquid crystal flows. Blow up criterion of smooth solutions is established by the energy method, which refines the…

### Remarks on the regularity criterion for the nematic liquid crystal flows in R3

- MathematicsAppl. Math. Comput.
- 2016

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Keywords: ecoulement : compressible ; chocs ; stabilite ; chocs ; mecanique des : fluides ; ecoulement ; theorie Reference Record created on 2005-11-18, modified on 2016-08-08