Abstract
In this paper, we consider the existence of weak renormalized solutions for the steady compressible flow of nematic liquid crystals in a 3-D bounded domain with no-slip boundary condition. By using a three-level approximation scheme, we establish the existence of weak renormalized solutions under the hypothesis \(\gamma >1\) for the adiabatic constant.
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Communicated by T. Nishida.
This work is supported by NSFC (11471127, 11571380), Guangdong Natural Science Funds for Distinguished Young Scholar (2015A030306029).
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Jin, C. On the Existence of Weak Solutions to the Steady Compressible Flow of Nematic Liquid Crystals. J. Math. Fluid Mech. 20, 1487–1507 (2018). https://doi.org/10.1007/s00021-018-0374-5
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DOI: https://doi.org/10.1007/s00021-018-0374-5