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The Uniaxial Limit of the Non-Inertial Qian–Sheng Model for Liquid Crystals

Author

Listed:
  • Sirui Li

    (School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China
    School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China)

  • Fangxin Zhao

    (School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China)

Abstract

In this article, we consider the Qian–Sheng model in the Landau–de Gennes framework describing nematic liquid crystal flows when the inertial effect is neglected. By taking the limit of elastic constant to zero (also called the uniaxial limit) and utilizing the so-called Hilbert expansion method, we provide a rigorous derivation from the non-inertial Qian–Sheng model to the Ericksen–Leslie model.

Suggested Citation

  • Sirui Li & Fangxin Zhao, 2021. "The Uniaxial Limit of the Non-Inertial Qian–Sheng Model for Liquid Crystals," Mathematics, MDPI, vol. 9(8), pages 1-22, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:8:p:912-:d:539681
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