A blow-up criterion for incompressible hydrodynamic flow of liquid crystals in dimension two. (English) Zbl 1290.35202
Summary: In the paper, we establish a Serrin type criterion for strong solutions to a simplified density-dependent Ericksen-Leslie system modeling incompressible, nematic liquid crystal materials in dimension two.
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
References:
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