On weak solution to the steady compressible flow of nematic liquid crystals | Zendy

Xu Qiuju | Zendy; Tan Zhong | Zendy

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On weak solution to the steady compressible flow of nematic liquid crystals

Author(s) -

Xu Qiuju,

Tan Zhong

Publication year - 2019

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.5565

Subject(s) - liquid crystal , exponent , compressibility , mathematics , bounded function , adiabatic process , domain (mathematical analysis) , flow (mathematics) , compressible flow , mechanics , condensed matter physics , mathematical analysis , thermodynamics , geometry , physics , philosophy , linguistics

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.

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