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On weak solution to the steady compressible flow of nematic liquid crystals |
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| Authors: | Qiuju Xu Zhong Tan |
| Abstract: | In this paper, we study the three‐dimensional‐simplified Ericksen‐Leslie system for the steady compressible flow of nematic liquid crystals in a bounded domain. It is proved that the existence of a weak solution for the adiabatic exponent γ > 1 provided the initial direction field in the upper hemisphere. |
| Keywords: | Ginzburg‐Landau approximation three‐dimensional steady compressible nematic liquid crystal flow weak convergence weak solution |