The Uniaxial Limit of the Non-Inertial Qian–Sheng Model for Liquid Crystals
نویسندگان
چکیده
In this article, we consider the Qian–Sheng model in Landau–de Gennes framework describing nematic liquid crystal flows when inertial effect is neglected. By taking limit of elastic constant to zero (also called uniaxial limit) and utilizing so-called Hilbert expansion method, provide a rigorous derivation from non-inertial Ericksen–Leslie model.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9080912